Question

an exterior angle and an interior angle of a regular polygon are in the ratio 2:7 find the no of sides in the polygon​

Answer 1

Answer:

As sum of all exterior angles is 360∘ , total number of sides must be 360∘40∘=9 and polygon is nonagon. If it is not a regular polygon, 7:2 ratio must be between sum of all interior angles and sum of all interior angles. and n=7+2=9 and polygon is a nonagon.

Answer 2

Step-by-step explanation:

it implies that 360:(n-2)180=2:7

360×7= (n-2)180×2

the 180×2 cancels with 360

it implies 7=n-2

n=9 it implies number of sides is 9 hence it is a nonagon

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