Question

# If the ratio of the measure of an internal angle to that of an external angle of a polygon is 3:2, then find the measure of an exterior angle.

A

B

C

D

Solution

## The correct option is D Measure of interior angle of an n' sided regular polygon = (n−2)180∘n Measure of exterior angle of an n' sided regular polygon = 2×180∘n Given that ratio of internal to external angle is 3 : 2 - ⇒ (n−22) = 32 ⇒ n = 5 ∴ Measure of an exterior angle is 72∘.Quantitative Aptitude

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