2. How many sides do a pentagon, hexagon, and
heptagon have?
What conjecture can you make about the sum of the
interior angles of each figure?
3. Angle Sum Theorem
The sum of the measures of the interior angles of an
n-gon is (n – 2)180
What is the measure of <G?
What is the measure of <Y?
4.
5. Polygon Exterior Angle Theorem
The sum of the measures of the exterior angles of a
polygon, one at each vertex, is 360
<1 + <2 + <3 + <4 + <5 = 360
6.
7. What is the measure of an exterior angle
of a regular 18-gon?
What is the sum of measures of a polygon with 180
sides?