Question

The difference between an exterior
angle of a regular polygon of n-sides
and an exterior angle of a regular
polygon of (n + 1) sides is 5º. The value
of n is?
​

Answer 1

Extr angle = 360/ n

360/n+360/n+2=5

multiple by n(n+1)

(n+1) 360-360n=5n2+5n

5n2+5n-360=0

n2+n-72=0

n2+9n-8n-720

n(n+9)-8(n+9)=0

(n+9)(n-8)

n-8=0

n=0

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