Question

Find the number of sides of a regular polygon whose each exterior angle has a measure of 45degree.​

Answer 1

Answer:

8

Step-by-step explanation:

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, \frac{360}{n}=45

n

360

=45

\frac{360}{45}=n

45

360

=n

8=n8=n

Hence the number of sides of a regular polygon are 8

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Answer 2

Answer:

Let the number of sides of the required polygon be x.

we know that,

$x = \frac{360}{measure \: of \: each \: exterior \: angle}$

$= > x = \frac{360}{45 }$

=> x = 8

Thus, the number of each side of a regular polygon whose each exterior angle has a measure of 45° is 8.