Question

Fiona drew a regular polygon that first maps directly onto itself after rotating 15 degrees. How many sides does the polygon have?

Answer 1

The answer is the polygon have 24 sides.

Solution is shown step by step: Let c be the 15 degrees.

1. C = 360 divided by n

2. 15 = 360 divided by n

3. then transpose n to the other side
    15n = 360

4. divide both sides by 15
    n = 360 divided by 15

5. n = 24