Question

MO bisects angle LMN, angel LMO = 6x-20.angle NMO= 2x+32 find angle LMN?

Answer 1

If MO bisects angle LMN:
6 x - 20 = 2 x + 36
6 x - 2 x = 36 + 20
4 x = 56
x = 56 : 4
x = 14
∠ LMN = 2 · ( 2 · 14 + 36 ) = 2 · ( 28 + 36 ) = 2 · 64 = 128
Answer : C )  x = 14, ∠ LMN = 128