Question

find the number of sides of a regular polygon in which its exterior angle is one-quarter of its interior angle

Answer 1

$\huge\bf{Question:-}$

Find the number of sides of a regular polygon in which its exterior angle is one-quarter of its interior angle.

$\huge\bf{Solution:-}$

• (Refer to attachment)

Answer 2

Answer:

as it is given 1/4 of the interior angle

therefore, 1/4×180=45 degrees

the exterior angle of regular triangle is 360/no. of sides

360/n=45

n=8

therefore no. of sides =8