the measure of an exterior angles has a measure of 72 degree, then what is the number of
sides of the polygon ?
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Answer:
5 sides
Step-by-step explanation:
There is a formula for the exterior angle measurement of regular polygons, where n is the number of sides and m is the measure of each exterior angle:
m° = 360°/n
72° = 360°/n : Multiply both sides by “n” to clear the fraction
(72°)(n) = 360° : Divide both sides by 72° to isolate n.
n = 360°/72°
n = 5 sides, this is a pentagon.
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