Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have?Choices:- 36 45 40 30
Question
Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have?Choices:- 36 45 40 30
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 9°, we can set up the equation 360/n = 9 and solve for n:
360/n = 9 360 = 9n n = 360/9 n = 40
So, the polygon has 40 sides. The correct answer is 40.
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