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Find the Measure of an interior angle of regular hexagon (6 sides polygon).X=Hunt sum=(n-2)180

Find the Measure of an interior angle of regular hexagon (6 sides polygon).X=Hunt-example-1
User Qmeeus
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it is known that formula for the sum of the interior angles of a polygon is

sum = (n - 2) 180 (given )

here n is the number of side of a polygon

here we have 6 sides in a regular hexagon

so put n = 6

sum = (6 - 2) x 180

sum = 4 x 180 = 720 degrees.

the sum of all 6 interior angles is 720 degrees,

as all the interior angles are equal in a regular hexagon

so the measure of interior angle (x) is

x = 720/6

x = 120 degrees

so each interior angle is 120 degrees.

User Sami Samhuri
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