Polygon Basics

Geometry Level pending

What is the measure of an interior angle of a regular 13-gon?

Give your answer to 2 decimal places.

152.31 144.50 125 131.72

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2 solutions

Venkatachalam J
Jul 11, 2016

Answer: 152.31

Drex Beckman
Jan 21, 2016

To find the interior angle of a polygon, you first take the number of sides, "n", and subtract 2: x = n 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 180 s=x\cdot180 . Then, divide s by n: s n \frac{s}{n} .

For our 13-gon: 11 = 13 2 11=13-2 1980 = 11 180 1980=11\cdot180 1980 13 152.31 \frac{1980}{13}\approx \boxed{152.31}

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