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Question

Find the measures of each exterior angle of a regular Hexagon

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Solution

In a regular hexagon, all sides are same size and measure of all interior angles are same.
The sum of interior angles of a regular polygon is given by (n2)×180o where n is number of sides of polygon.
Sum of interior anles =(62)×180o=720o here n=6 (because hexa means 6)
Each interior angle =720/6=120o
As we know that the sum of interior and exterior angles is 180o
Exterior angle + interior angle =180o
Exterior angle +120o=180o
Exterior angle =180o120o=60o

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