The Total solution for NCERT class 6-12
The difference between any two consecutive interior angles of a polygonis 5┬░. If the smallest angle is 120┬░, find the number of the sides of thepolygon.
ItтАЩs understood fromthe question that, the angles of the polygon will form an A.P. with commondifference┬аd┬а= 5┬░ and first term┬аa┬а= 120┬░.
And, we know that thesum of all angles of a polygon with┬аn┬аsides is 180┬░ (n┬атАУ2).
Thus, we can say
Thus, a polygon having9 and 16 sides will satisfy the condition in the question.