The Polygon-Angle Sum Theorems

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If the measure of an exterior angle of a regular polygon is 24, how many sides does the polygon have?

15

What is the measure of one interior angle of a regular 12-gon?

150

What is the sum of the interior angle measures of a 20-gon?

3,240

What is the value of x in the regular polygon below?

40

What is the measure of an exterior angle of a regular octagon?

45


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