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The exterior angle of a regular polygon is 18°. what is the sum of its interior angles.
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The exterior angle of a regular polygon is 18°. what is the sum of its interior angles.
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Apr 18, 2019
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The exterior angle of a regular polygon is 18°. what is the sum of its interior angles.
Mathematics
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Hyarion
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Hyarion
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20 sides.
Number of sides = 360/ measure of exterior angle
= 360/18
= 20 sides.
Sum of interior angles = 180*(n-2)
= 180 * (20-2)
= 180 * 18
= 3240
I hope that helped
AJefferiss
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Apr 20, 2019
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an interior angle = 180-18 = 162
let n be the no. of sides of the polygon
(n-2)*180/n=162
180n-360=162n
18n=360
n=20
sum of its interior angles= (20-2)*180 =3240
Mark Dowell
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Apr 22, 2019
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Mark Dowell
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