Find the value of X in the polygon below.

The value of X is 14

Step-by-step explanation:

First you need to find the sum of all the interior angles of the polygon using the polygon interior angle sum theorem:

(n - 2) 180°

n = # of angles

Substitute:

(6 - 2) 180

(4) 180

= 720°

Then you can calculate the value of x by setting up an equation adding all of the interior angles and isolating the x variable:

10x + (8x - 16) + (12x - 8) + (7x + 2) + (9x + 4) + (6x + 10) = 720

Add like-terms:

52x + -8 +8 = 720 +8

52/52x = 728/52

x = 14