Author Beydler666 in Mathematics, 06.11.2019

Each interior angle of a regular polygon is 150 degrees. How many sides does the polygon have?

Answered by AL2006

The sum of the interior angles of the polygon = (n - 2) x 180 .(n - 2) x 180 = (n x 150)180n - 360 = 150nAdd 360 to each side:180n = 150n + 360Subtract 150n from each side:30n = 360Divide each side by 30 :n = 12

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