SOLUTION: The measure of each interior angle of a polygon is 3 times the measure of each exterior angle. How many sides does the polygon have?
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Question 364130
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The measure of each interior angle of a polygon is 3 times the measure of each exterior angle. How many sides does the polygon have?
Answer by
scott8148(6628)
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the interior and exterior angles are supplementary
x + 3x = 180 ___ x = 45
the sum of the exterior angles of a polygon is 360
360/45 = 8 ___ this is an octagon