Answer:
∠MON = 57°
Step-by-step explanation:
∠MON = ∠LON - ∠LOM
(2x + 33°) = 113° - (3x + 20°)
2x + 33° = 113° - 3x - 20°
2x + 3x = 113° - 20° - 33°
5x = 60°
[tex]x = \frac{60}{5} \\\\x = 12[/tex]
then
∠MON = 2x + 33°
∠MON = 2(12) + 33°
∠MON = 24 + 33°
∠MON = 57°
