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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #36554)