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Equation practice with angle addition ​

Equation practice with angle addition ​-example-1

1 Answer

4 votes

Answer:

∠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°

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