The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°,

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asked Feb 10, 2018 in Mathematics by Rohit Singh (61,782 points) 35 133 354

The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°, find the number of the sides of the polygon.

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answered Feb 10, 2018 by sameer (82,980 points) 5 11 37

The angles of the polygon will form an A.P. with common difference d as 5° and first term a as 120°.
It is known that the sum of all angles of a polygon with n sides is 180°(n – 2).

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