Question

. Find the number of sides of a regular polygon whose each exterior angle has a measure of 90 degree​

Answer 1

Step-by-step explanation:

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

$\frac{360}{45}=n$

45360=n

8=n8=n

Hence the number of sides of a regular polygon are 8

Answer 2

Answer:

The number of sides of a regular polygon whose each exterior angle has a measure of 90 degrees​ = 4

Step-by-step explanation:

Given,

Each exterior angle of a regular polygon =90°

To find,

The number of sides of the polygon

Recall the formula

Sum of exterior angles of a polygon =360°

Each exterior angle of a polygon =  $\frac{360^0}{n}$, where 'n' is the number of sides

Solution:

Since each exterior angle of a regular polygon is 90°, we have

$\frac{360^0}{n}$ = 90

n = $\frac{360}{90}$ = 4

The number of sides of the polygon = 4

Answer:

The number of sides of a regular polygon whose each exterior angle has a measure of 90 degrees​ = 4

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