Question

MO bisects m A. x = 13, B. x = 13, C. x = 14, D. x = 14,

Answer 1

For the given question above, the full question must have read as:
MO bisects m<LMN,<LMO =6x-20 and <NMO 2x+36. Solve for x and find m<LMN.  The diagram is not to scale.

If MO bisect the angles, then the 2 resulting angles are equal in size so you will have:
6x - 20 = 2x + 36

Solve:
6x - 20 = 2x + 36



The answer would be: x = 14, <LMN=128