One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x

One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x

Answer Details

An hexagon polygon is a six sided polygon
n = 6
sum of all interior angles of hexagon polygon will be (2n - 4) x 90o
= [2 x 6 - 4] x 90
= 720o
If one angle is 170o and each of the remaining five angles is 5xo
5xo + 170o = 720o
= 5x + 550
x = $\frac{550}{5}$
= 110o