An exterior angle of a regular polygon is 22.5°. Find the number of sides.
Question 1 Report
An exterior angle of a regular polygon is 22.5°. Find the number of sides.
Answer Details
For a regular polygon with n sides, each exterior angle is equal to 360°/n.
Given that the exterior angle of the regular polygon is 22.5°, we can set up an equation as follows:
360°/n = 22.5°
Multiplying both sides by n, we get:
360° = 22.5°n
Dividing both sides by 22.5°, we get:
n = 360°/22.5° = 16
Therefore, the regular polygon has 16 sides.
Hence, the answer is (d) 16.
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