Three angles

The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles.

Correct answer:

α =  58 °
β =  85 °
γ =  37 °

Step-by-step explanation:

α+β+γ=180  ∘ (3x−2)°+(4x+5)°+(2x−3)°=180 ∘  (3x−2)+(4x+5)+(2x−3)=180  (3⋅ x−2)+(4⋅ x+5)+(2⋅ x−3)=180  9x=180  x=9180​=20  x=20  α=3⋅ x−2=3⋅ 20−2=58∘
β=4⋅ x+5=4⋅ 20+5=85∘
γ=2⋅ x−3=2⋅ 20−3=37∘

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