What is the measure of an interior angle of a regular 13-gon?
Give your answer to 2 decimal places.
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To find the interior angle of a polygon, you first take the number of sides, "n", and subtract 2: x = n − 2 . Multiply the result by 180 (You are fitting x triangles into the polygon, and funding the sum of all angles): s = x ⋅ 1 8 0 . Then, divide s by n: n s .
For our 13-gon: 1 1 = 1 3 − 2 1 9 8 0 = 1 1 ⋅ 1 8 0 1 3 1 9 8 0 ≈ 1 5 2 . 3 1
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Answer: 152.31