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If all the angles of a hexagon are equal, find the measure of each angle.

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#### Solution

No. of sides of hexagon, n = 6

Let each angle be = x°

Sum of angles = 6x°

(n – 2) x 180° = Sum of angles

(6 – 2) x 180° = 6x°

4 x 180 = 6x

x = `(4 xx 180)/6`

x = 120°

∴ Each angle of hexagon = 120°

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