Answer:
x = 9
Explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ NOP is an exterior angle of the triangle , then
∠ NOP = ∠ OMN + ∠ MNO ( substitute values )
6x - 5 = x + 11 + 2x + 11 ( collect like terms on right side )
6x - 5 = 3x + 22 ( subtract 3x from both sides )
3x - 5 = 22 ( add 5 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9