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Find the number of the sides of the polygon.

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+3 votes
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asked Jan 19, 2017 in Mathematics by Rohit Singh (61,782 points) ● 35 ● 133 ● 356

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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+4 votes
answered Jan 19, 2017 by vikash (21,277 points) ● 4 ● 19 ● 70
selected Jan 19, 2017 by Rohit Singh
 
Best answer

Solution:

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).

So

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