Showing posts with label 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.. Show all posts
Showing posts with label 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.. Show all posts

Sunday, 30 June 2013

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 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.

Answer

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°

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