Question

14) In a regular polygon, each interior angle is
four times the exterior angle. Find the
number of sides of the polygon.​

Answer 1

Answer:In a regular polygon,

If number of sides = n

then, each interior angle = (n-2)*180/n

exterior angle = 360/n

by question, \frac{(n-2)*180}{n}

n

(n−2)∗180

= 4 * \frac{360}{n}

n

360

by solving we get n = 10.