Question

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

Answer 1

Answer:

octagon

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

Step-by-step explanation:

Answer 2

Answer:

octagon

Step-by-step 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