A) 9
B) 10
C) 16
D) 5
E) 8
Correct Answer: A
Solution :
Let there be n sides of the polygon. Then, the sum of all interior angles is\[(2n-4)\]right angles. \[\therefore \] \[\frac{n}{2}[240+(n-1)5]=(2n-4)\times 90\] \[\Rightarrow \] \[{{n}^{2}}-25n+144=0\] \[\Rightarrow \] \[n=9,16\] But for\[n=16,\]the largest angle is \[120+(16-1)5=195,\]which is impossible Hence,\[n=9\].You need to login to perform this action.
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