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

Question

Jaelyn Werner

Mathematics

28 July, 08:30

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

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Answers (1)

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Claire Lawrence · 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