Question

Find the number of sides of a polygon if each exterior angle is 24 degree.

Answer 1

✬Question✬

• Find the number of sides of a polygon if each exterior angle is 24 degree.

✬To Find✬

• How many sides of polygon does it have?

✬Given✬

• Measure of each exterior angle = 24°

✬Solution✬

We know that,

• Total measure of all exterior angles = 360°

∴ The number of exterior angles = $\sf{\frac{Total\:measure\:of\:all\:exterior\:angles}{Measure\:of\:each\:exterior\:angle}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:$

The number of exterior angles = $\sf{\cancel{\frac{360}{24}}}$ = 15

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:$

Thus,the polygon has 15 sides.