Question

the measure the measure of the angle of Pentagon are x minus 5 x minus 6 2 x minus 7 x and 2 x minus 2 find the value of x​

Answer 1

x = 56°

Explanation:

Applying,

Sum of the interior angles in a polygon = (n-2)180

Where n = number of sides.

From the question,

Given: n = 5 sides (Pentagon)

Therefore, sum up all the given interior angle of the polygon

(x-5)+(5x-6)+(2x-7)+x+(2x-2) = (5-2)180

10x-20 = 540

10x = 540+20

10x = 560

x = 560/10

x = 56°