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