Answer:
Step-by-step explanation:
MO bisects ∠LMN.
⇒ ∠LMO = ∠NMO
⇒ ∠LMN = 2 * ∠LMO
6x - 28 = 2* (x +34)
6x - 28 = 2*x + 2*34
6x - 28 = 2x + 68
Add 28 to both sides
6x = 2x + 68 + 28
6x = 2x + 96
Subtract 2x from both sides
6x - 2x = 96
4x = 96
Divide both sides by 4
x = 96/4
x = 24
∠LMO = x + 34 = 24 + 34 = 58
∠MNO = ∠LMO
∠MNO = 58°
