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N76 [4]
3 years ago
9

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

Mathematics
2 answers:
irga5000 [103]3 years ago
7 0
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
Vlad1618 [11]3 years ago
6 0

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\°

<u>Find the value of x</u>

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

therefore

<u>the answer is</u>

the measure of x is 132\°


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