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The measure of an exterior angles has a measure of 72 degree, then what is the number ofsides of the polygon ? |
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Answer» 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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