SOLUTION: One exterior angle of a regular polygon measures 24 degree.Wat is the sum of measures of its interior angles of a polygon?

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Question 193886: One exterior angle of a regular polygon measures 24 degree.Wat is the sum of measures of its interior angles of a polygon?
Answer by stanbon(75887) About Me  (Show Source):
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One exterior angle of a regular polygon measures 24 degree.What is the sum of measures of its interior angles of a polygon?
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The sum of the exterior angles of any regular polygon is 360 degrees.
Since you have a 24 degree angle there are 360/24 = 15 sides and
15 interior angles.
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Each interior angle is the supplement of its exterior angle.
The supplement of 24 is 180-24 = 156 degrees.
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The sum of the interior angles is 15*156 = 2340 degrees.
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Cheers,
Stan H.