# 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

Each exterior angle of n-sided regular polygon=$\frac{360^{\circ}}{n}$

Each exterior angle of (n+1) sided regular polygon= $\frac{360^{\circ}}{n+1}$

Given:$\frac{360^{\circ}}{n}-\frac{360^{\circ}}{n+1}=5$             (Greater the number of sides,smaller is the exterior angle)

On solving,we get : $n=8$

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