Each exterior angle of a regular polygon is two-thirds of its interior

1.	Each exterior angle of a regular polygon is two-thirds of its interior angle. Find the number of sidesthe regular polygon.
Answer» If we take n as the number of sides of the polygon then, Exterior angle=360°/n Also, Interior angle= n-2/n x180° according to the question, 1/4 x Interior angle = Exterior angle⇒1/4* n-2/n x180°=360°/n⇒(n-2)45°=360°⇒n-2=8°⇒n=10° Wrong. AnswerCorrect answer is 5

Each exterior angle of a regular polygon is two-thirds of its interior angle. Find the number of sidesthe regular polygon.

Answer»

If we take n as the number of sides of the polygon then,

Exterior angle=360°/n

Also,

Interior angle= n-2/n x180°

according to the question,

1/4 x Interior angle = Exterior angle⇒1/4* n-2/n x180°=360°/n⇒(n-2)45°=360°⇒n-2=8°⇒n=10°

Wrong. AnswerCorrect answer is 5