If a polygon has an interior angle of 144, what kind of polygon is it? (find the # of sides first
1 answer:
<span>Each Interior Angle = <span>(<span>(Number of Sides -2) • 180 degrees<span>)<span> ÷ (Number of Sides)
Solving for number of sides
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<span>Each Interior Angle / 180 = <span>(N -2) <span>/ (N)
144 / 180 = (n-2) / n
144 * n = 180n -360
360 = 36 n
n = 10 the number of sides
Source:
http://www.1728.org/polygon.htm
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