if each interior angle of a regular convex polygon is three times the measure of each exterior angle, what kind of polygon is it?

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22-01-2018
Mathematics

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if each interior angle of a regular convex polygon is three times the measure of each exterior angle, what kind of polygon is it?

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Yna9141 Yna9141 · Answer 1 · 2018-01-31T22:42:11+01:00

Yna9141 Yna9141

31-01-2018

The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is,

180(n - 2)/ n = 3(360/n)

The value of n from the equation is 8. The polygon with 8 sides is an octagon.

Answer: OCTAGON

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