Given

\qquad \overline{OL}\perp\overline{ON}
OL

ON
start overline, O, L, end overline, \perp, start overline, O, N, end overline
\qquad m \angle LOM = 3x + 38^\circm∠LOM=3x+38

m, angle, L, O, M, equals, 3, x, plus, 38, degrees
\qquad m \angle MON = 9x + 28^\circm∠MON=9x+28

m, angle, M, O, N, equals, 9, x, plus, 28, degrees
Find m\angle LOMm∠LOMm, angle, L, O, M:

2 answers

Given
\qquad \overline{OL}\perp\overline{ON}
OL

ON
start overline, O, L, end overline, \perp, start overline, O, N, end overline
\qquad m \angle LOM = 3x + 38^\circm∠LOM=3x+38

m, angle, L, O, M, equals, 3, x, plus, 38, degrees
\qquad m \angle MON = 9x + 28^\circm∠MON=9x+28

m, angle, M, O, N, equals, 9, x, plus, 28, degrees
Find m\angle LOMm∠LOMm, angle, L, O, M:
sorry. How about just typing the sides as in AB, CD and ∠ABC without all the repetition and commas ?
and expressions like 9x+28 or 3x+12
all that other junk is just annoying.

You seem to be able to handle ∠, so here's a ⊥ and a ° just to help out