Question

Sandra is creating a garden in the shape of a regular polygon. If the garden has a certain number of sides, n, and has exterior angles, each with a measure of 24 degree. determine how many sides the garden has. (G.10)(1 point)

Answer 1

Answer:

The number of sides the garden has is:

$15\text{ sides}$

Explanation:

Given that each exterior angle of a regular polygon of sides n is equal to

$24^{\circ}$

Recall that the sum of exterior angles of a polygon is equal to 360 degrees.

For a n sided regular polygon with each exterior angle equal to 24 degrees, we have;

$24^{\circ}\times n=360^{\circ}$

let us solve for n by dividing both sides by 24 degrees;

$\begin{gathered} \frac{24^{\circ}\times n}{24^{\circ}}=\frac{360^{\circ}}{24^{\circ}} \\ n=15 \end{gathered}$

Therefore, the number of sides the garden has is:

$15\text{ sides}$