Mathematics
SheliaLaudermilk
13

If the difference between the exterior angle of a n sided regular polygon and an (n 1) sided regular polygon is 12. find the value of n.

+1
(1) Answers
sassymissy

Sum of exterior angle of a polygon is 360° An n-sided polygon has n equal exterior angles. 360/n - 360/(n + 1) = 12 360(n + 1) - 360n = 12n(n + 1) 12n^2 + 12n = 360 n^2 + n - 30 = 0 (n - 5)(n + 6) = 0 n = 5 or n = -6 Therefore, n = 5

Add answer