Question

ǫᴜᴇsᴛɪᴏɴ :

The interior angles of a polygon are in A.P. and the smallest angle is 120 degree and common difference 5 degree. Find the number of sides of the polygon.

1)9
2)8
3)7
4)6​

Answer 1

Answer:

8 is the answer

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Answer 2

Step-by-step explanation:

smallest angle= 120 degree

common difference= 5

AP is 120,125,130...

the sum of interior angles of a polygon=( n-2) 120

n/2{2.120 + (n-1) 5}= 180( n-2)

5n2-125n+720=0

n2-25n+144=0

n=9 or 16

hence= 9

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