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OpenStudy (anonymous):
What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 30°?
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OpenStudy (mathmate):
Since it is a regular polygon, all interior/exterior angles are equal. We know that the sum of all exterior angles equals 360 deg. So we can calculate the number of vertices, n. One interior angle is 180-30=150 deg. So what is the sum of interior angles of the whole polygon?
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