The measurement of each internal angle of a regular polygon is 120°. How many sides does it have?Group of answer choices5 sides6 sides8 sides
Question
The measurement of each internal angle of a regular polygon is 120°. How many sides does it have?Group of answer choices5 sides6 sides8 sides
Solution
The formula to find the measure of each internal angle of a regular polygon is (n-2) * 180° / n, where n is the number of sides.
Given that each internal angle measures 120°, we can set up the equation:
120° = (n-2) * 180° / n
Solving for n, we get:
120n = 180n - 360
60n = 360
n = 6
So, the regular polygon has 6 sides.
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