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  • If the difference between an exterior angle of a regular polygon of n sides and an exterior angle of another regular polygon of (n+1) sides is equal to 5 degrees then find the value of n

If the difference between an exterior angle of a regular polygon of n sides and an exterior angle of another regular polygon of (n+1) sides is equal to 5 degrees then find the value of n

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Each exterior angle of n-sided regular polygon=frac360^circn

Each exterior angle of (n+1) sided regular polygon= frac360^circn+1

Given:frac360^circn-frac360^circn+1=5             (Greater the number of sides,smaller is the exterior angle)

On solving,we get : n=8

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Deependra Verma

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