CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

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


  1. 9

  2. 52

  3. 60

  4. 10


Solution

The correct option is A

9


If n is the number of its sides, the sum of its interior angles is

n2[2×120+(n1)5]=5n2[n+47] ....(1)

But the sum of the interior angles is 180n360=180(n2)                    . . . .(2)

(1) and (2)5n2(n+47)=180(n2)n225n+144=0n=9,16

In a convex polygong no angle exceeds 180.n16 and n=9

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image