I am a polygon. The sum of my interior angles equals the sum of my exterior angles. How many sides do I have?
4
The sum of the exterior angles of any convex polygon is always 360 degrees. The sum of interior angles is (n-2) * 180. Setting them equal: (n-2) * 180 = 360 -> n-2 = 2 -> n = 4.
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Medium. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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