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.
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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3 Comment(s) on this Question
They say that the difference between ANY two consecutive angles. So it could be the last and the first one as well but then like Lalit Mohan said the difference is more than 5°. Could you please explain?
Here difference between 16 and 9 is seven. So rejected the value of n=16. So number of sides of polygon is 9.
Here first and last angles are also consecutive, but difference is more than 5.
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