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

Explanation

sum of exterior angles = 360^o

Sum of interior angle = (n - 2) x 180

360 = \(\frac{1}{2}\) x(n - 2) x 180(90^o)

360 = \(\frac{1}{2}\) x(n - 2) x 90^o

\(\frac{360}{90}\) = a - 2

4 = n - 2

n = 4 + 2 = 6