Question

How many sides does a regular polygon have, wherein, whose interior angle is eight times its exterior angle

Answer 1

Answer:

Interior angle of a regular polygon of 'n' sides =

n

(n−2)×180

∘

Exterior angle of a regular polygonof 'n' sides

Given,

n

(n−2)×180

∘

=8×

n

360

∘

⇒(n−2)=8×

180

∘

360

∘

=16

⇒n=18

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