I am a regular closed polygon whose interior angles add up to 540 degrees. How many sides do I have?
5
The sum of interior angles of an n-sided polygon is given by (n - 2) × 180°. Setting (n - 2) × 180 = 540 yields n - 2 = 3, so n = 5 (a pentagon).
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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