The ratio of exterior angle to interior angle of a regular polygon is

1.	The ratio of exterior angle to interior angle of a regular polygon is 1 4. Find the number of sidesof the polygon.
Answer» Let the interior angle of the regular polygon be x.Therefore, the exterior angle is x/4. Exterior angle + adjacent interior angle = 180°x/4 + x. = 180°5x /4. = 180°x. = 180° * 4/5= 144° The interior angle is 144°.The exterior angle is 36°. Let n be the number of sides. n = 360°/ exterior angle= 360° / 36°= 10

The ratio of exterior angle to interior angle of a regular polygon is 1 4. Find the number of sidesof the polygon.

Answer»

Let the interior angle of the regular polygon be x.Therefore, the exterior angle is x/4.

Exterior angle + adjacent interior angle = 180°x/4 + x. = 180°5x /4. = 180°x. = 180° * 4/5= 144°

The interior angle is 144°.The exterior angle is 36°.

Let n be the number of sides.

n = 360°/ exterior angle= 360° / 36°= 10