Answer:
The answer is 48
Step-by-step explanation:
Angle LON is 180 degrees.
Angle LOM + Angle MON = Angle LON = 180
(7x - 92) + (6x + 12) = 180
7x + 6x - 92 + 12 = 180
13x - 80 = 180
13x = 260
x = 20
The means that Angle LOM is:
7x - 92
= 7(20) - 92
= 140 - 92
= 48