Question

How many sides does a regular polygon have if the measure of an exterior

angle is 18°​

Answer 1

Answer:

20 sides

We know that if we find the size of an exterior angle for the given regular polygon whose exterior angle is 18∘, we can find the number of sides. Where, n is the number of sides. Therefore, there are 20 sides in the given regular polygon whose exterior angle is 168∘.

Answer 2

$\sf \red{Question :}$

> How many sides does a regular polygon have if the measure of an exterior

angle is 18°

$\sf \red{Answer : }$

It has 20 sides.

• We know that a regular polygon has exterior angle of 18⁰.
• We know that by finding size of the exterior sides of a regular polygon whose have Angle of 18⁰ we can find the no. of sides .

$\rightarrow \pink{360 {}^{0} \div 0 = n}$

N , can represent the sides of the polygon

The value of 0 in (1)

$\rightarrow \pink{360 {}^{0} \div 18 {}^{0} = 20}$

Hence , there are 20 sides in the regular polygon .