The angles of the polygon are in AP.The smallest angle is 110 and the largest angle is 135 if the sum of the angles 980. Find the no of sides of the polygon.
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Step-by-step explanation:
Smallest angle=120degree
Common difference=5
A P is 120, 125, 130,……..
The sum of interior angles of a polygon= (n-2)180
Hence Sum of n terms of an A P = (n-2)180
n/2 {2.120+(n-1)5} = 180(n-2)
5n^2 -125n +720 = 0
n^2 -25n +144=0
n=9 or 16
hence number of sides ca
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