Question

Equation practice with angle addition ​

Answer 1

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°

$x = \frac{60}{5} \\\\x = 12$

then

∠MON  = 2x + 33°

∠MON = 2(12) + 33°

∠MON  = 24 + 33°

∠MON = 57°