Respuesta :

Answer:

∠MON = 57°

Step-by-step explanation:

∠LOM +  ∠MON = ∠LON ← substitute values

3x + 20 + 2x + 33 = 113, that is

5x + 53 = 113 ( subtract 53 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

Hence

∠MON  = 2x + 33 = (2 × 12) + 33 = 24 + 33 = 57°