# Block B Interior and exterior angles in regular polygons

- Author:
- erikazamfirescu, Paul Smith

Investigate the interior and exterior angles in a range of regular polygons.

Record the interior and exterior angles in each different regular polygon. What is the relationship between the number of sides and each of the two angles?

1. What is the measure of the interior angle of a REGULAR polygon with 10 sides using the slide ruler of the picture?

2. Write the formula for finding each interior angle of a polygon.

3. Use the formula from question #2 to calculate each interior angle of the polygon in question #1. Show your work and put it on the space provided below. Did you get the same answer?

4. Use the slide ruler provided to find the measure of an exterior angle of a polygon with 8 sides and write the number in the space below.

5. Write the formula for finding each exterior angle of a regular polygon in the space provided below. Calculate for the polygon in question #4. Did you get the same result?