How many sides does a regular polygon have if the measure of an exterior angle is 15o?
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Answer:
24
Step-by-step explanation:
In a regular polygon with number of sides n, the measure of an exterior angle can be calculated through the formula
360/n
Thus, if
360/n=15
Solve for n to find that:
15n=360
n=24
The polygon has 24 sides.
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