Question

find the angle measure x in the given figure. ​

Answer 1

Answer:

x=108°

Step-by-step explanation:

Remember that the formula to find the sum of the interior angles of any polygon is 180° x (n-2) where n is the number of sides of the polygon. So if we apply it to this, it will be 180° x (5-2) as the figure is a pentagon( has 5 sides)

then that is 180° x 3 = 540°

The figure is a regular polygon as all the sides of the polygon are equal. That causes all the angles to be equal.

Then the value of one angle is 540°/5 = 108°

That means that the value of x is  108°

Hope it helps