m< NMO
= m< LMN - m< LMO
= (5x - 23) - (x + 32)
= 5x - 23 - x - 32
= 4x - 55
Since <LMN is bisected, we have:
m< LMO = m< NMO
x + 32 = 4x - 55
4x - x = 32 + 55
3x = 87
x = 87 / 3
x = 29
Hence, we have:
m<NMO
= 4x - 55
= 4(29) - 55
= 116 - 55
= 61 degrees