ANSWER
x = 3.13
EXPLANATION
The shape given is a regular hexagon.
Each of the interior angles of a regular hexagon is 120°.
The polygon given has interior angle of:
-157x + 590 + 7x
This means that:
-157x + 590 + 7x = 120
Collect like terms:
590 - 120 = 157x - 7x
470 = 150x
Divide through by 150:
x = 470 / 150
x = 3.13
That is the value of x.
