Answer: 57°
Explanation:
Because the angle has a bisector ON, we should be able to add the angles together to collectively equal 106. This will help us to find c, so then we can solve <LOM.
(10c-23) + (-3c+73) = 106
Now combine like terms of the left side of the equation
7c + 50 = 106
get the variables alone on one side of the equation
7c = 56
c = 8
Now, plug in c to the equation for the degree of <LOM to solve
10(8) -23 = 80 - 23 = 57°
Hope this helps!