Question

Solve for x. Enter your answer in the box. x =____°

Answer 1

The sum of all interior angles is (n-2)x180 while n=number of sides. So (6-2)x180=720. The angles you have add up to 588. All you need to do now is 720-588. x=132

Answer 2

we know that

The sum of all interior angles in the polygon is equal to the formula

$(n-2)*180\°$

where

n is the number of sides of the polygon

In this problem we have

$n=6$

substitute the value in the formula

$(6-2)*180\°=720\°$

Find the value of x

$720\°=x\°+108\°+113\°+132\°+75\°+160\°\\720\°=x\°+588\°\\x\°=720\°-588\°\\x=132\°$

therefore

the answer is

the measure of x is $132\°$