Question

Equation practice with angle addition ​

Answer 1

∠MON = 57°

Explanation:

∠MON = ∠LON - ∠LOM

(2x + 33°) = 113° - (3x + 20°)

2x + 33° = 113° - 3x - 20°

2x + 3x = 113° - 20° - 33°

5x = 60°

`x = (60)/(5) \\\\x = 12`

then

∠MON = 2x + 33°

∠MON = 2(12) + 33°

∠MON = 24 + 33°

∠MON = 57°