Answer:
[tex]M∠LOM = \boxed{48}[/tex]
Step-by-step explanation:
[tex]M∠LOM + m∠MON = 180 \\ 7x-92 + 6x+12 = 180 \\ 13x - 80 = 180 \\ 13x = 180 + 80 \\ 13x = 260 \\ \boxed{ x = 20} \\ (7x - 92 )= 140 - 92 = \boxed{48} \\ [/tex]
