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inn [45]
4 years ago
15

What are the measures of each interior angles of a regular 24-gon

Mathematics
1 answer:
Andre45 [30]4 years ago
4 0
The formula for the sum of the interior angles of a polygon is (n-2)*180, where n is the number of sides.

So, you'd have:
180(24-2)
180(22)
3960

3960 degrees is the sum of all the measures of the interior angles of a 24-gon. Now, to find how much each angle measures in a regular 24-gon, simply divide this: 3960/24.

You can use a calculator to solve this, but to actually give you the answer to your question:
3960/24=165

In a regular 24-gon, each angle's measurement is 165 degrees.
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