Question

1.

Solve for x.


I’m in sophomore year of highschool and I struggle in geometry. As hard as I try I never seem to understand the lesson, please, help me.

Answer 1

x = 11

Explanation:

This is a pentagon with all sides equal.

First find sum of the interior angles using the formula (n - 2)180, where n = 5, the number of sides of the polygon:

(5-2)180 = 3 x 180 = 540

There are five equal angles, so to find the degrees of each angle:

540/5 = 108

Now you can solve for x:

7x + 31 = 108

7x = 108 - 31

7x = 77

x = 77/7 = 11