Question

What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 72?

Answer 1

A. 720
B. 1080
C. 360
D. 180
E. 540
F. 900

Answer 2

The sum of the exterior angles of any regular polygon is 360.

360/72 = 5 which means that there are 5 interior angles of the regular polygon, and thus 5 sides. The polygon is a pentagon.

If each exterior angle of the regular polygon has measure 72, then the adjacent interior angle has measure 180 - 72 = 108.

108 *5 = ? degrees for the sum of the interior anlges of the pentagon.

@Danny_Boy

Note: Regular polyons are both equiangular and equilateral.

Answer 3

so my answer would be 180??? @Directrix

Answer 4

@Danny_Boy

>>so my answer would be 180??? NO

Multiply 108 times 5 and that is your answer.