Answer:
see explanation
Step-by-step explanation:
Since MO bisects ∠ LMN then
∠ LMO and ∠ NM0 are congruent, thus
∠ LMN = ∠ LMO + ∠ NMO , substitute values
8x - 23 = 2x + 37 + 2x + 37 = 4x + 74 ( subtract 4x from both sides )
4x - 23 = 74 ( add 23 to both sides )
4x = 97 ( divide both sides by 4 )
x = 24.25
Thus
∠ LMN = 8x - 23 = 8(24.25) - 23 = 194 - 23 = 171°
