The exterior angle of a regular polygon is equal to the one fourth of an interior angle of a regular hexagon. How many sides does the polygon have?Required to answer. Single choice.Immersive Reader
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In a regular hexagon, all angles are of same measure(equiangular) and length of each side is same(equilateral).
Each interior angle of regular hexagon is 60
o
.
In every polygon, sum of interior angle and its corresponding exterior angle is 180
o
.
∴ Measure of exterior angle 180
o
−120
o
=60
o
Hence, each exterior angle of a regular hexagon is of 60
o
.
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