Question

determine the number of sides of polygon whose exterior and interior angles are in the ratio of 1:5

Answer 1

Polygon whose exterior and inerior angle are in the ratio 1:5.

⇒ 360° / (2n - 4) x 90° = 1 / 5

⇒ 4 / (2n - 4) = 1 / 5

⇒ 20 = (2n - 4)

⇒ 2n = 24

∴ n = 12.

Answer 2

Hey!!

Good afternoon !!

Here is your answer =>
___________

=> 360° / (2n - 4) x 90° = 1 / 5

=> 4 / (2n - 4) = 1 / 5

=> 20 = (2n - 4)

=> 2n = 24

=> n = 12.
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Hope it helps ☺️