Question

Sandra is creating a garden in the shape of a regular polygon. If the garden has exterior angles, each measuring 24°, determine how many sides the garden has.

a) 5
b) 6
c) 8
d) 10

Answer 1

After dividing the total sum of exterior angles of a polygon (360°) by the given exterior angle measure (24°), it is found that Sandra's garden has 15 sides, known as a pentadecagon.

Step-by-step explanation:

The question involves Sandra who is creating a garden in the shape of a regular polygon and wanting to determine how many sides the garden has, given that the exterior angles each measure 24°.

The sum of the exterior angles of any polygon is 360°. To find out how many sides the garden's polygon has, you can divide 360° by the measure of each exterior angle.

Here's how you calculate it:

1. Write down the total sum of exterior angles: 360°.
2. Divide this sum by the measure of one exterior angle: 360° ÷ 24° = 15.

Hence, the garden has 15 sides, which makes it a pentadecagon.