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If the exterior angle is 30o then the shape has 360/30 = 12 sides.

An interior angle = 180 - exterior angle = 180 - 30 = 150.

Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.

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Q: One exterior angle of a regular polygon measures 30 what is the sum of the polygons exterior angle measures?
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One exterior angle of a regular polygon measures 40 What is the sum of the polygons interior angle measures?

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