Honors Geometry Interior and Exterior Angle Sums by lanyuehua

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For each polygon below, carefully follow the directions:

1. Draw all possible diagonals starting at the bottom left vertex only!

2. Give the number of triangles formed in each figure.

______          ______        ______          ______          ______

3. If the sum of the measures in a triangle is 180º, write the sum of the measures of
the angles inside each polygon below.

4. Write a formula you could use to find the SUM of the INTERIOR angles for any
polygon.

5. If each of the polygons below is REGULAR, find the measure of one angle in
each polygon.

6. Write a formula you could use to find the measure of one INTERIOR angle for
any regular polygon.

Geometry Interior and Exterior Angle Sums
7. Follow this example and extend all the sides of each polygon below.

8. Using your knowledge of linear pairs, give the measure of every EXTERIOR
angle for each regular polygon above.

______          ______        ______         ______         ______

9. Find the sum of the exterior angles for each of the polygons above.