SlideShare uma empresa Scribd logo
1 de 41
Baixar para ler offline
Angle Relationships
&
Parallel Lines
Pre-Algebra
Adjacent angles are “side by side” and
share a common ray.
45º
15º
These are examples of adjacent angles.
55º
35º
50º130º
80º 45º
85º
20º
These angles are NOT adjacent.
45º55º
50º
100º
35º
35º
Complementary Angles
sum to 90°
40°
50°
Complementary angles add up to 90º.
60º
30º
40º
50º
Adjacent and Complementary
Angles
Complementary Angles
but not Adjacent
Supplementary Angles
sum to 180°
30° 150°
Supplementary angles add up to 180º.
60º120º
40º
140º
Adjacent and Supplementary
Angles
Supplementary Angles
but not Adjacent
Vertical Angles
are opposite one another.
Vertical angles are congruent.
100°
100°
Vertical Angles
are opposite one another.
Vertical angles are congruent.
80°
80°
Lines l and m are parallel.
l||m
120°
l
m
120°
120°
120°
Note the 4
angles that
measure 120°.
n
Line n is a transversal.
Lines l and m are parallel.
l||m
60°
l
m
60°
60°
60°
Note the 4
angles that
measure 60°.
n
Line n is a transversal.
Lines l and m are parallel.
l||m
60°
l
m
60°
60°
60°
There are many
pairs of angles that
are supplementary.
There are 4 pairs of
angles that are
vertical.
120°
120°
120°
120°
n
Line n is a transversal.
If two lines are intersected by a transversal
and any of the angle pairs shown below are
congruent, then the lines are parallel. This
fact is used in the construction of parallel
lines.
Practice Time!
1) Find the missing angle.
36°
?°
1) Find the missing angle.
36°
?°
90 ° – 36 = 54°
2) Find the missing angle.
64°
?°
2) Find the missing angle.
64°
?°
90 ° – 64° = 26°
3) Solve for x.
3x°
2x°
3) Solve for x.
3x°
2x°
3x° + 2x° = 90°
5x = 90
x =18
4) Solve for x.
2x + 5
x + 25
4) Solve for x.
2x + 5
x + 25
(2x + 5) + (x + 25) = 90
3x + 30 = 90
3x = 60
x = 20
5) Find the missing angle.
?° 168°
5) Find the missing angle.
?° 168°
180° – 168° = 12°
6) Find the missing angle.
58° ?°
6) Find the missing angle.
58° ?°
180° – 58° = 122°
7) Solve for x.
4x 5x
7) Solve for x.
4x 5x
4x + 5x = 180
9x = 180
x = 20
8) Solve for x.
2x + 10 3x + 20
8) Solve for x.
2x + 10 3x + 20
(2x + 10) + (3x + 20) = 180
5x + 30 = 180
5x = 150
x = 30
9) Lines l and m are parallel.
l||m
Find the missing angles.
42°
l
m
b°
d°
f°
a °
c°
e°
g°
9) Lines l and m are parallel.
l||m
Find the missing angles.
42°
l
m
42°
42°
42°
138°
138°
138°
138°
10) Lines l and m are parallel.
l||m
Find the missing angles.
81°
l
m
b°
d°
f°
a °
c°
e°
g°
10) Lines l and m are parallel.
l||m
Find the missing angles.
81°
l
m
81°
81°
81°
99°
99°
99°
99°
11) Find the missing angles.
70 °
b°
70 °
d ° 65 °
Hint: The 3 angles in a
triangle sum to 180°.
11) Find the missing angles.
70 °
40°
70 °
75 ° 65 °
Hint: The 3 angles in a
triangle sum to 180°.
12) Find the missing angles.
45 °
b°
50 °
d ° 75 °
Hint: The 3 angles in a
triangle sum to 180°.
12) Find the missing angles.
45 °
85°
50 °
20° 75 °
Hint: The 3 angles in a
triangle sum to 180°.
In the figure a || b.
13. Name the angles congruent to ∠3.
14. Name all the angles supplementary to ∠6.
15. If m∠1 = 105° what is m∠3?
16. If m∠5 = 120° what is m∠2?
∠1, ∠5, ∠7
∠1, ∠3, ∠5, ∠7
105°
60°
The End

Mais conteúdo relacionado

Mais procurados

Trigonometry and triangles
Trigonometry and trianglesTrigonometry and triangles
Trigonometry and trianglesschmi3ma
 
Obj. 8 Classifying Angles and Pairs of Angles
Obj. 8 Classifying Angles and Pairs of AnglesObj. 8 Classifying Angles and Pairs of Angles
Obj. 8 Classifying Angles and Pairs of Anglessmiller5
 
Introduction to Vectors
Introduction to VectorsIntroduction to Vectors
Introduction to VectorsM.T.H Group
 
Obj. 15 Triangle Angle Relationships
Obj. 15 Triangle Angle RelationshipsObj. 15 Triangle Angle Relationships
Obj. 15 Triangle Angle Relationshipssmiller5
 
Obj. 15 Triangle Angle Relationships
Obj. 15 Triangle Angle RelationshipsObj. 15 Triangle Angle Relationships
Obj. 15 Triangle Angle Relationshipssmiller5
 
Angles created by transversal and paralle
Angles created by transversal and paralleAngles created by transversal and paralle
Angles created by transversal and parallerljohnson68
 
Final case study powerpoint
Final case study powerpointFinal case study powerpoint
Final case study powerpointRamachandran N
 
Addition of cartesian vectors
Addition of cartesian vectorsAddition of cartesian vectors
Addition of cartesian vectorsmahdi shahbazi
 
8.1 angles 1
8.1 angles 18.1 angles 1
8.1 angles 1bweldon
 
Physics (displacement, distance, speed, velocity) 1 d
Physics (displacement, distance, speed, velocity)  1 dPhysics (displacement, distance, speed, velocity)  1 d
Physics (displacement, distance, speed, velocity) 1 drebelman10
 
Five most comprehensive examples of triangle laws
Five most comprehensive examples of triangle lawsFive most comprehensive examples of triangle laws
Five most comprehensive examples of triangle lawsTransweb Global Inc
 
l1. trigonometric function
 l1. trigonometric function l1. trigonometric function
l1. trigonometric functionrina valencia
 
1.1 Lecture Notes
1.1 Lecture Notes1.1 Lecture Notes
1.1 Lecture Notessyschulz
 

Mais procurados (17)

Trigonometry and triangles
Trigonometry and trianglesTrigonometry and triangles
Trigonometry and triangles
 
Obj. 8 Classifying Angles and Pairs of Angles
Obj. 8 Classifying Angles and Pairs of AnglesObj. 8 Classifying Angles and Pairs of Angles
Obj. 8 Classifying Angles and Pairs of Angles
 
8-1
8-18-1
8-1
 
Introduction to Vectors
Introduction to VectorsIntroduction to Vectors
Introduction to Vectors
 
Obj. 15 Triangle Angle Relationships
Obj. 15 Triangle Angle RelationshipsObj. 15 Triangle Angle Relationships
Obj. 15 Triangle Angle Relationships
 
Obj. 15 Triangle Angle Relationships
Obj. 15 Triangle Angle RelationshipsObj. 15 Triangle Angle Relationships
Obj. 15 Triangle Angle Relationships
 
Angles created by transversal and paralle
Angles created by transversal and paralleAngles created by transversal and paralle
Angles created by transversal and paralle
 
Hprec6 2
Hprec6 2Hprec6 2
Hprec6 2
 
Final case study powerpoint
Final case study powerpointFinal case study powerpoint
Final case study powerpoint
 
Addition of cartesian vectors
Addition of cartesian vectorsAddition of cartesian vectors
Addition of cartesian vectors
 
8.1 angles 1
8.1 angles 18.1 angles 1
8.1 angles 1
 
Physics (displacement, distance, speed, velocity) 1 d
Physics (displacement, distance, speed, velocity)  1 dPhysics (displacement, distance, speed, velocity)  1 d
Physics (displacement, distance, speed, velocity) 1 d
 
Princy ppt
Princy pptPrincy ppt
Princy ppt
 
Five most comprehensive examples of triangle laws
Five most comprehensive examples of triangle lawsFive most comprehensive examples of triangle laws
Five most comprehensive examples of triangle laws
 
Force vectors
Force vectorsForce vectors
Force vectors
 
l1. trigonometric function
 l1. trigonometric function l1. trigonometric function
l1. trigonometric function
 
1.1 Lecture Notes
1.1 Lecture Notes1.1 Lecture Notes
1.1 Lecture Notes
 

Semelhante a Angle relationships

Angle Pairs - Quarter 2 Grade 7 Mathematics.pptx
Angle Pairs - Quarter 2 Grade 7 Mathematics.pptxAngle Pairs - Quarter 2 Grade 7 Mathematics.pptx
Angle Pairs - Quarter 2 Grade 7 Mathematics.pptxMarkGuira
 
Lines and angles
Lines and anglesLines and angles
Lines and anglesandylouis1
 
19.1 Angles formed by intersecting lines.ppt
19.1 Angles formed by intersecting lines.ppt19.1 Angles formed by intersecting lines.ppt
19.1 Angles formed by intersecting lines.pptMomciloMisljenovic
 
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-pptAngle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-pptNisha Sharma
 
TIU CET Review Math Session 3 Geometry by Young Einstein
TIU CET  Review Math Session 3 Geometry by Young EinsteinTIU CET  Review Math Session 3 Geometry by Young Einstein
TIU CET Review Math Session 3 Geometry by Young Einsteinyoungeinstein
 
angle facts.ppt angle facts angle facts angle facts
angle facts.ppt angle facts angle facts angle factsangle facts.ppt angle facts angle facts angle facts
angle facts.ppt angle facts angle facts angle factsambin5978
 
Polygons By.leinard
Polygons By.leinardPolygons By.leinard
Polygons By.leinardleinard10
 
triangles-geometry
triangles-geometrytriangles-geometry
triangles-geometryelizer14
 
triangles geometry
triangles geometrytriangles geometry
triangles geometryelizer14
 
2 trigonometric ratios conglomerate keep
2 trigonometric ratios conglomerate   keep2 trigonometric ratios conglomerate   keep
2 trigonometric ratios conglomerate keepRamesh Kumar
 
Parallel lines cut by a transversal
Parallel lines cut by a transversalParallel lines cut by a transversal
Parallel lines cut by a transversalArmaine Exconde
 

Semelhante a Angle relationships (20)

Chapter 1B
Chapter 1BChapter 1B
Chapter 1B
 
Angle Pairs - Quarter 2 Grade 7 Mathematics.pptx
Angle Pairs - Quarter 2 Grade 7 Mathematics.pptxAngle Pairs - Quarter 2 Grade 7 Mathematics.pptx
Angle Pairs - Quarter 2 Grade 7 Mathematics.pptx
 
Hprec6 1
Hprec6 1Hprec6 1
Hprec6 1
 
Angles
AnglesAngles
Angles
 
Lines and angles
Lines and anglesLines and angles
Lines and angles
 
19.1 Angles formed by intersecting lines.ppt
19.1 Angles formed by intersecting lines.ppt19.1 Angles formed by intersecting lines.ppt
19.1 Angles formed by intersecting lines.ppt
 
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-pptAngle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
 
Modulepolygons
ModulepolygonsModulepolygons
Modulepolygons
 
TIU CET Review Math Session 3 Geometry by Young Einstein
TIU CET  Review Math Session 3 Geometry by Young EinsteinTIU CET  Review Math Session 3 Geometry by Young Einstein
TIU CET Review Math Session 3 Geometry by Young Einstein
 
angle facts.ppt angle facts angle facts angle facts
angle facts.ppt angle facts angle facts angle factsangle facts.ppt angle facts angle facts angle facts
angle facts.ppt angle facts angle facts angle facts
 
Polygons
PolygonsPolygons
Polygons
 
Polygons By.leinard
Polygons By.leinardPolygons By.leinard
Polygons By.leinard
 
Angle Pairs
Angle PairsAngle Pairs
Angle Pairs
 
triangles-geometry
triangles-geometrytriangles-geometry
triangles-geometry
 
triangles geometry
triangles geometrytriangles geometry
triangles geometry
 
2 trigonometric ratios conglomerate keep
2 trigonometric ratios conglomerate   keep2 trigonometric ratios conglomerate   keep
2 trigonometric ratios conglomerate keep
 
0
00
0
 
Parallel lines cut by a transversal
Parallel lines cut by a transversalParallel lines cut by a transversal
Parallel lines cut by a transversal
 
10-5 Triangles
10-5 Triangles10-5 Triangles
10-5 Triangles
 
10-5 Triangles
10-5 Triangles10-5 Triangles
10-5 Triangles
 

Mais de Cinnaminson Public Schools (20)

2015SupervisorResume
2015SupervisorResume2015SupervisorResume
2015SupervisorResume
 
1.8 lab
1.8 lab1.8 lab
1.8 lab
 
Budget project
Budget projectBudget project
Budget project
 
Scale drawing table
Scale drawing tableScale drawing table
Scale drawing table
 
Linear equation graphic
Linear equation graphicLinear equation graphic
Linear equation graphic
 
Slope
SlopeSlope
Slope
 
Scale drawing project
Scale drawing projectScale drawing project
Scale drawing project
 
Scale drawing do nows
Scale drawing do nowsScale drawing do nows
Scale drawing do nows
 
Lifeline project grade sheet (2)
Lifeline project grade sheet (2)Lifeline project grade sheet (2)
Lifeline project grade sheet (2)
 
Lifelineproject
LifelineprojectLifelineproject
Lifelineproject
 
Polygons and quadrilaterals
Polygons and quadrilateralsPolygons and quadrilaterals
Polygons and quadrilaterals
 
L4 angles in polygons
L4 angles in polygonsL4 angles in polygons
L4 angles in polygons
 
Congruent angles go
Congruent angles goCongruent angles go
Congruent angles go
 
Lesson 3 line and angle relationships
Lesson 3 line and angle relationshipsLesson 3 line and angle relationships
Lesson 3 line and angle relationships
 
Angle relationships
Angle relationshipsAngle relationships
Angle relationships
 
Building blocks of geometry
Building blocks of geometryBuilding blocks of geometry
Building blocks of geometry
 
Sample questions 2013
Sample questions 2013Sample questions 2013
Sample questions 2013
 
7th ask prep jeopardy
7th ask prep jeopardy7th ask prep jeopardy
7th ask prep jeopardy
 
8th ask prep jeopardy
8th ask prep jeopardy8th ask prep jeopardy
8th ask prep jeopardy
 
Nj ask jeopardy 1
Nj ask jeopardy 1Nj ask jeopardy 1
Nj ask jeopardy 1
 

Último

Introduction to Matsuo Laboratory (ENG).pptx
Introduction to Matsuo Laboratory (ENG).pptxIntroduction to Matsuo Laboratory (ENG).pptx
Introduction to Matsuo Laboratory (ENG).pptxMatsuo Lab
 
UiPath Community: AI for UiPath Automation Developers
UiPath Community: AI for UiPath Automation DevelopersUiPath Community: AI for UiPath Automation Developers
UiPath Community: AI for UiPath Automation DevelopersUiPathCommunity
 
COMPUTER 10: Lesson 7 - File Storage and Online Collaboration
COMPUTER 10: Lesson 7 - File Storage and Online CollaborationCOMPUTER 10: Lesson 7 - File Storage and Online Collaboration
COMPUTER 10: Lesson 7 - File Storage and Online Collaborationbruanjhuli
 
Cybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxCybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxGDSC PJATK
 
Bird eye's view on Camunda open source ecosystem
Bird eye's view on Camunda open source ecosystemBird eye's view on Camunda open source ecosystem
Bird eye's view on Camunda open source ecosystemAsko Soukka
 
NIST Cybersecurity Framework (CSF) 2.0 Workshop
NIST Cybersecurity Framework (CSF) 2.0 WorkshopNIST Cybersecurity Framework (CSF) 2.0 Workshop
NIST Cybersecurity Framework (CSF) 2.0 WorkshopBachir Benyammi
 
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfUiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfDianaGray10
 
Meet the new FSP 3000 M-Flex800™
Meet the new FSP 3000 M-Flex800™Meet the new FSP 3000 M-Flex800™
Meet the new FSP 3000 M-Flex800™Adtran
 
Designing A Time bound resource download URL
Designing A Time bound resource download URLDesigning A Time bound resource download URL
Designing A Time bound resource download URLRuncy Oommen
 
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve DecarbonizationUsing IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve DecarbonizationIES VE
 
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...UbiTrack UK
 
UiPath Studio Web workshop series - Day 6
UiPath Studio Web workshop series - Day 6UiPath Studio Web workshop series - Day 6
UiPath Studio Web workshop series - Day 6DianaGray10
 
AI You Can Trust - Ensuring Success with Data Integrity Webinar
AI You Can Trust - Ensuring Success with Data Integrity WebinarAI You Can Trust - Ensuring Success with Data Integrity Webinar
AI You Can Trust - Ensuring Success with Data Integrity WebinarPrecisely
 
Nanopower In Semiconductor Industry.pdf
Nanopower  In Semiconductor Industry.pdfNanopower  In Semiconductor Industry.pdf
Nanopower In Semiconductor Industry.pdfPedro Manuel
 
OpenShift Commons Paris - Choose Your Own Observability Adventure
OpenShift Commons Paris - Choose Your Own Observability AdventureOpenShift Commons Paris - Choose Your Own Observability Adventure
OpenShift Commons Paris - Choose Your Own Observability AdventureEric D. Schabell
 
AI Fame Rush Review – Virtual Influencer Creation In Just Minutes
AI Fame Rush Review – Virtual Influencer Creation In Just MinutesAI Fame Rush Review – Virtual Influencer Creation In Just Minutes
AI Fame Rush Review – Virtual Influencer Creation In Just MinutesMd Hossain Ali
 
ADOPTING WEB 3 FOR YOUR BUSINESS: A STEP-BY-STEP GUIDE
ADOPTING WEB 3 FOR YOUR BUSINESS: A STEP-BY-STEP GUIDEADOPTING WEB 3 FOR YOUR BUSINESS: A STEP-BY-STEP GUIDE
ADOPTING WEB 3 FOR YOUR BUSINESS: A STEP-BY-STEP GUIDELiveplex
 
VoIP Service and Marketing using Odoo and Asterisk PBX
VoIP Service and Marketing using Odoo and Asterisk PBXVoIP Service and Marketing using Odoo and Asterisk PBX
VoIP Service and Marketing using Odoo and Asterisk PBXTarek Kalaji
 
UiPath Studio Web workshop series - Day 8
UiPath Studio Web workshop series - Day 8UiPath Studio Web workshop series - Day 8
UiPath Studio Web workshop series - Day 8DianaGray10
 

Último (20)

Introduction to Matsuo Laboratory (ENG).pptx
Introduction to Matsuo Laboratory (ENG).pptxIntroduction to Matsuo Laboratory (ENG).pptx
Introduction to Matsuo Laboratory (ENG).pptx
 
UiPath Community: AI for UiPath Automation Developers
UiPath Community: AI for UiPath Automation DevelopersUiPath Community: AI for UiPath Automation Developers
UiPath Community: AI for UiPath Automation Developers
 
COMPUTER 10: Lesson 7 - File Storage and Online Collaboration
COMPUTER 10: Lesson 7 - File Storage and Online CollaborationCOMPUTER 10: Lesson 7 - File Storage and Online Collaboration
COMPUTER 10: Lesson 7 - File Storage and Online Collaboration
 
Cybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxCybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptx
 
Bird eye's view on Camunda open source ecosystem
Bird eye's view on Camunda open source ecosystemBird eye's view on Camunda open source ecosystem
Bird eye's view on Camunda open source ecosystem
 
201610817 - edge part1
201610817 - edge part1201610817 - edge part1
201610817 - edge part1
 
NIST Cybersecurity Framework (CSF) 2.0 Workshop
NIST Cybersecurity Framework (CSF) 2.0 WorkshopNIST Cybersecurity Framework (CSF) 2.0 Workshop
NIST Cybersecurity Framework (CSF) 2.0 Workshop
 
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfUiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
 
Meet the new FSP 3000 M-Flex800™
Meet the new FSP 3000 M-Flex800™Meet the new FSP 3000 M-Flex800™
Meet the new FSP 3000 M-Flex800™
 
Designing A Time bound resource download URL
Designing A Time bound resource download URLDesigning A Time bound resource download URL
Designing A Time bound resource download URL
 
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve DecarbonizationUsing IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
 
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
UWB Technology for Enhanced Indoor and Outdoor Positioning in Physiological M...
 
UiPath Studio Web workshop series - Day 6
UiPath Studio Web workshop series - Day 6UiPath Studio Web workshop series - Day 6
UiPath Studio Web workshop series - Day 6
 
AI You Can Trust - Ensuring Success with Data Integrity Webinar
AI You Can Trust - Ensuring Success with Data Integrity WebinarAI You Can Trust - Ensuring Success with Data Integrity Webinar
AI You Can Trust - Ensuring Success with Data Integrity Webinar
 
Nanopower In Semiconductor Industry.pdf
Nanopower  In Semiconductor Industry.pdfNanopower  In Semiconductor Industry.pdf
Nanopower In Semiconductor Industry.pdf
 
OpenShift Commons Paris - Choose Your Own Observability Adventure
OpenShift Commons Paris - Choose Your Own Observability AdventureOpenShift Commons Paris - Choose Your Own Observability Adventure
OpenShift Commons Paris - Choose Your Own Observability Adventure
 
AI Fame Rush Review – Virtual Influencer Creation In Just Minutes
AI Fame Rush Review – Virtual Influencer Creation In Just MinutesAI Fame Rush Review – Virtual Influencer Creation In Just Minutes
AI Fame Rush Review – Virtual Influencer Creation In Just Minutes
 
ADOPTING WEB 3 FOR YOUR BUSINESS: A STEP-BY-STEP GUIDE
ADOPTING WEB 3 FOR YOUR BUSINESS: A STEP-BY-STEP GUIDEADOPTING WEB 3 FOR YOUR BUSINESS: A STEP-BY-STEP GUIDE
ADOPTING WEB 3 FOR YOUR BUSINESS: A STEP-BY-STEP GUIDE
 
VoIP Service and Marketing using Odoo and Asterisk PBX
VoIP Service and Marketing using Odoo and Asterisk PBXVoIP Service and Marketing using Odoo and Asterisk PBX
VoIP Service and Marketing using Odoo and Asterisk PBX
 
UiPath Studio Web workshop series - Day 8
UiPath Studio Web workshop series - Day 8UiPath Studio Web workshop series - Day 8
UiPath Studio Web workshop series - Day 8
 

Angle relationships

  • 2. Adjacent angles are “side by side” and share a common ray. 45º 15º
  • 3. These are examples of adjacent angles. 55º 35º 50º130º 80º 45º 85º 20º
  • 4. These angles are NOT adjacent. 45º55º 50º 100º 35º 35º
  • 6. Complementary angles add up to 90º. 60º 30º 40º 50º Adjacent and Complementary Angles Complementary Angles but not Adjacent
  • 7. Supplementary Angles sum to 180° 30° 150°
  • 8. Supplementary angles add up to 180º. 60º120º 40º 140º Adjacent and Supplementary Angles Supplementary Angles but not Adjacent
  • 9. Vertical Angles are opposite one another. Vertical angles are congruent. 100° 100°
  • 10. Vertical Angles are opposite one another. Vertical angles are congruent. 80° 80°
  • 11. Lines l and m are parallel. l||m 120° l m 120° 120° 120° Note the 4 angles that measure 120°. n Line n is a transversal.
  • 12. Lines l and m are parallel. l||m 60° l m 60° 60° 60° Note the 4 angles that measure 60°. n Line n is a transversal.
  • 13. Lines l and m are parallel. l||m 60° l m 60° 60° 60° There are many pairs of angles that are supplementary. There are 4 pairs of angles that are vertical. 120° 120° 120° 120° n Line n is a transversal.
  • 14. If two lines are intersected by a transversal and any of the angle pairs shown below are congruent, then the lines are parallel. This fact is used in the construction of parallel lines.
  • 16. 1) Find the missing angle. 36° ?°
  • 17. 1) Find the missing angle. 36° ?° 90 ° – 36 = 54°
  • 18. 2) Find the missing angle. 64° ?°
  • 19. 2) Find the missing angle. 64° ?° 90 ° – 64° = 26°
  • 20. 3) Solve for x. 3x° 2x°
  • 21. 3) Solve for x. 3x° 2x° 3x° + 2x° = 90° 5x = 90 x =18
  • 22. 4) Solve for x. 2x + 5 x + 25
  • 23. 4) Solve for x. 2x + 5 x + 25 (2x + 5) + (x + 25) = 90 3x + 30 = 90 3x = 60 x = 20
  • 24. 5) Find the missing angle. ?° 168°
  • 25. 5) Find the missing angle. ?° 168° 180° – 168° = 12°
  • 26. 6) Find the missing angle. 58° ?°
  • 27. 6) Find the missing angle. 58° ?° 180° – 58° = 122°
  • 28. 7) Solve for x. 4x 5x
  • 29. 7) Solve for x. 4x 5x 4x + 5x = 180 9x = 180 x = 20
  • 30. 8) Solve for x. 2x + 10 3x + 20
  • 31. 8) Solve for x. 2x + 10 3x + 20 (2x + 10) + (3x + 20) = 180 5x + 30 = 180 5x = 150 x = 30
  • 32. 9) Lines l and m are parallel. l||m Find the missing angles. 42° l m b° d° f° a ° c° e° g°
  • 33. 9) Lines l and m are parallel. l||m Find the missing angles. 42° l m 42° 42° 42° 138° 138° 138° 138°
  • 34. 10) Lines l and m are parallel. l||m Find the missing angles. 81° l m b° d° f° a ° c° e° g°
  • 35. 10) Lines l and m are parallel. l||m Find the missing angles. 81° l m 81° 81° 81° 99° 99° 99° 99°
  • 36. 11) Find the missing angles. 70 ° b° 70 ° d ° 65 ° Hint: The 3 angles in a triangle sum to 180°.
  • 37. 11) Find the missing angles. 70 ° 40° 70 ° 75 ° 65 ° Hint: The 3 angles in a triangle sum to 180°.
  • 38. 12) Find the missing angles. 45 ° b° 50 ° d ° 75 ° Hint: The 3 angles in a triangle sum to 180°.
  • 39. 12) Find the missing angles. 45 ° 85° 50 ° 20° 75 ° Hint: The 3 angles in a triangle sum to 180°.
  • 40. In the figure a || b. 13. Name the angles congruent to ∠3. 14. Name all the angles supplementary to ∠6. 15. If m∠1 = 105° what is m∠3? 16. If m∠5 = 120° what is m∠2? ∠1, ∠5, ∠7 ∠1, ∠3, ∠5, ∠7 105° 60°