Question

Polygon STUVW is shown. what is m U ? _____degrees. show all work for this question

Answer 1

Answer: angle U = 72 degrees

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Explanation:

If you have n sides of a polygon, then the interior angles add up to S = 180(n-2)

In this case, n = 5, so S = 180(n-2) = 180(5-2) = 540

We can add up the five angles the diagram shows and set that sum equal to 540 to solve for x

S+T+U+V+W = 540

90+2x+x+2x+90 = 540

5x+180 = 540

5x = 540-180

5x = 360

x = 360/5

x = 72

Since angle U = x, this means angle U = 72 degrees