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Math Grade 8

Can anyone help me find the correct answer this question Math question ?

The building for the headquarters for the United States Department of Defense is in the shape of a regular polygon with five sides. What is the measure of one of the interior angles of the building?

2 Answers

4 votes
The angles of a regular pentagon add up to 180°. So, you can set up this equation:

5x = 360

And then solve for x:

x = (360)/(5) = 72

So, the interior angle is equal to 72°.
User Salil Surendran
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2 votes
72 degrees
Since it's a regular polygon with 5 sides, you divide 360 by 5. You'd end up with 72. Hope this helps
User Rajeev K Tomy
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