Question

The number of sides of a regular polygon where each exterior angle has a measure of 45° is *
4
6
8
10

please tell me the correct answer pls

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Answer 1

8

Given : A regular polygon whose each exterior angle has a measure of 45 degrees

To Find : Find the number of sides of a regular polygon

Solution :

A regular polygon whose each exterior angle has a measure of 45 degrees

Let n be the no. of sides

So, 





Hence  the number of sides of a regular polygon are 8

I hope it will help you

Answer 2

Answer :–

• Option (c) 8cm is the correct option.

Given :–

• The number of sides of a regular polygon whose each exterior angles has a measure of 45°.

To Find :–

• The number of sides of a regular polygon.

Solution :–

Let,

The number of sides of a regular polygon be x.

According to the question,

⟹ $\dfrac{360}{x}$ = 45°

⟹ $\dfrac{\cancel{360}}{\cancel{45}}$ = x

Cancel the denominator and the numerator by 5, we obtain

⟹ $\dfrac{\cancel{72}}{\cancel{9}}$ = x

Again, cancel the denominator and the numerator by 9, we obtain

⟹ $\dfrac{8}{1}$ = x

⟹ 8 = x

• x = 8cm

Hence,

The number of sides of a regular polygon is 8cm.

So, the correct option is (c) 8cm.