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Dmitrij [34]
3 years ago
15

If a polygon has an interior angle of 144, what kind of polygon is it? (find the # of sides first

Mathematics
1 answer:
ikadub [295]3 years ago
5 0
<span>Each Interior Angle = <span>(<span>(Number of Sides -2) • 180 degrees<span>)<span> ÷ (Number of Sides)

Solving for number of sides
</span></span></span></span></span>
<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

</span></span></span>
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