If an exterior angle of a regular polygon measures 20°, how many sides does the polygon have?
Question
If an exterior angle of a regular polygon measures 20°, how many sides does the polygon have?
Solution
The number of sides of a regular polygon can be found using the formula 360°/measure of one exterior angle.
Step 1: Identify the measure of the exterior angle. In this case, it is given as 20°.
Step 2: Substitute the given measure of the exterior angle into the formula. So, 360°/20° = 18.
Therefore, the regular polygon has 18 sides.
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