ach exterior angle of a regular polygon measures 15°. How many sides does the polygon have?A.15B.8C.24D.10
Question
ach exterior angle of a regular polygon measures 15°. How many sides does the polygon have?A.15B.8C.24D.10
Solution
The measure of each exterior angle of a regular polygon is given by the formula 360/n, where n is the number of sides.
So, if each exterior angle measures 15°, we can set up the equation 360/n = 15 and solve for n:
360/n = 15 360 = 15n n = 360/15 n = 24
So, the polygon has 24 sides. The correct answer is C.24.
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