The sum of the exterior of an n-sided convex polygon is half the sum of…

The sum of the exterior of an n-sided convex polygon is half the sum of its interior angle. find n
  • A.
    6
  • B.
    8
  • C.
    9
  • D.
    12
Correct Answer: Option A
Explanation

sum of exterior angles = 360o
Sum of interior angle = (n – 2) x 180
360 = (frac{1}{2}) x(n – 2) x 180(90o)
360 = (frac{1}{2}) x(n – 2) x 90o
(frac{360}{90}) = a – 2
4 = n – 2
n = 4 + 2 = 6

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