One exterior angle of a regular polygon measures 22.5 degrees. How many sides does the polygon have?

It an be concluded tat the regular polygon has 16 sides

A regular polygon is a polygon with equal angles and equal sides.

The sum of exterior angles of a regular polygon is 360°

According to the given data

One exterior angle of a regular polygon measures 22.5 °

Let us consider that the regular polygon has "n" sides

So from the exterior angle sum property of the regular polygon we can write that

So it an be concluded tat the regular polygon has 16 sides

For more information please refer to the link given below

link

.

16

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Divide by 22.5 to find the number of sides n

n = = 16

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!