Question

What’s the value of z?

Answer 1

Explanation:

This is a non-regular pentagon. By the definition of the polygon angle-sum theorem, the angles inside the polygon equal 540 degrees. To find this, take the number of sides of the polygon (5), subtract 2 from it (3), and multiply that number by 180 to get 540. That means that all the angles added up together equal 540:

119 + z + 2z + 70 + 2z + 1q = 540 and

5z + 200 = 540 and

5z = 340 so

z = 68