Answer:
angle MON = 57 degree
Explanation:
Angle LOM + Angle MON =90 degree (being perpendicular)
3x- 15+5x -23 = 90
8x -38 = 90
8x = 90 + 38
8x = 128
x = 128/8
x = 16
Angle MON
5x - 23
5*16 - 23
80 - 23
57 degree
Angle LOM
3x - 15
3*16 - 15
48 - 15
33 degree