Question

What is the value of x knowing that the interior angle of this regular polygon is -157x+590+7x°?A 3.63B 4.33C 3.03D 3.13

Answer 1

x = 3.13

Step-by-step 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.