Question

An interior angle of a regular polygon has a measure of 135 what type of polygon is it

Answer 1

octagon

Explanation:

Here are two ways to solve this:

1) The total of the interior angles of a n-gon is given by

(n-2)* 180

then each angle is (n-2)(180)/n

so (n-2)(180)/n = 135

n = 8 so it is an octagon

2) The interior and exterior angles sum to 180

so the exterior angle is 45

the sum of all of the exterior angles = 360

45 n = 360

n = 8 octagon

Answer 2

octagon

An interior angle of a regular polygon has a measure of 135°, it is an octagon.

Explanation: