Question

Find the number of sides of a regards polygon whose each exterior angle has measure 45°

Answer 1

$\huge\underline\mathcal{BONJOUR}$

Your answer:-

We know that the measure of each exterior angle of n-sided regular polygon is:

$( \frac{360}{n} )$

$n = ( \frac{360}{45} ) = 8$

Hence,there are 8 sides of the polygon.

#Hope it helps!!

Answer 2

$\huge\underline\mathfrak{Question}$

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

$\huge\underline\mathfrak{Answer}$

GIVEN,

The measure of each exterior angle of regular polygon is 45°

FIND,

Number of sides of a regular polygon whose each exterior angle has a measure of 45°=?

SOLUTION,

Measure of each exterior angle of polygon is n-sided.

To find sides:

=360°/n

n=360°/45°

n=8 sides

:•:Therefore,There are 8 sides of a regular polygon.

#Hope it helps you!