Question

Find the measures of one interior angle and one exterior angle of a regular polygon with 8 sides

one interior angle__________ one exterior angle___________

Answer 1

one interior angle 135

one exterior angle 45

Explanation:

Total measure of all angles in a 8 sided regular polygon = (n - 2)* 180

= ( 8 - 2 ) * 180

= 6 * 180

= 1080

Measurement of one interior angle = 1080 / 8 = 135

Interior angle and exterior angle make linear pair.

Measurement of one exterior angle = 180 - 135 = 45