SOLUTION: In what polygon is the sum of the measures of the exterior angles, one per vertex, equal to the sum of the measures of the angles?

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Question 1132086: In what polygon is the sum of the measures of the exterior angles, one per vertex, equal to the sum of the measures of the angles?

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A rectangle.

Answer by ikleyn(52834)   (Show Source): You can put this solution on YOUR website!
.
In what polygon is the sum of the measures of the exterior angles, one per vertex, equal to the sum of the measures of the angles?
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Answer.   Any  (convex)  quadrilateral.

The sum of exterior angles      The sum of interior angles

     360  degrees                (4-2)*180 = 360 degrees


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