MATH SOLVE

5 months ago

Q:
# What is the measure of an exterior angle in a regular polygon with 15 sides?

Accepted Solution

A:

first, find the measure of an interior angle:

the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides

for a 15-sided polygon, the sum is 13*180

each interior angle is then 13*180/15=156

the measure of each exterior angle=180-156=24

the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides

for a 15-sided polygon, the sum is 13*180

each interior angle is then 13*180/15=156

the measure of each exterior angle=180-156=24