Question

What is the value of x? Then determine the measure of each angle.

X=________
angle measure=________

Answer 1

x=14 and the measure of each angle is 108

Explanation:

Using the polygon formula (n-2) * 180 where n is the number of points

There are five points, so (5-2)*180 = 3*180=540

Since the sides are all equivalent, meaning that the angles are all equivalent as well, 540/5 = 108 is the measure of each angle in the pentagon

Therefore, 9x-18=108 9x=126 x=14

x=14 and the measure of each angle is 108