Question

determine the number of sides of a polygon whose exterior and interior angles are 1:x

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.