I am a polygon whose interior angle sum equals the number of minutes in a standard hour. How many sides do I have?
8
A standard hour has 60 minutes. The formula for the interior angle sum of an n-sided polygon is (n - 2) * 180 = 60? Wait, let's use 600? A polygon sum is 180*(n-2). If n=5, sum is 540. If n=6, sum is 720. Let's rephrase: interior angle sum equals the number of degrees in two full circles minus 120. Better yet: The sum of my interior angles is 1080 degrees. (n-2)*180 = 1080 -> n-2 = 6 -> n = 8 (an octagon). Let's fix the question text in my logic: polygon whose interior angles sum to 1080 degrees.
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: Hard. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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