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

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

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User P D
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1 Answer

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The sum of the interior angles of the polygon = (n - 2) x 180 .

(n - 2) x 180 = (n x 150)

180n - 360 = 150n

Add 360 to each side:

180n = 150n + 360

Subtract 150n from each side:

30n = 360

Divide each side by 30 :

n = 12
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User Kokeksibir
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