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Rajan@2021
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In a △ABC,∠A=x, ∠B=(3x−2), ∠C=y. Also, ∠C−∠B=9. Find the three angles

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One of the most important and conceptual question from linear equations in two variables in which we have to find the angle of a triangle if it is given that in a ABC,A=x, B=(3x2), C=y. Also, CB=9.

Kindly give me a detailed solution of this question by using the properties of linear equations

RS Aggarwal, Class 10, chapter 3E, question no 52

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1 Answer

  1. InaABC, (By angle sum property)

    A+B+C=180
    CB=9

    y(3x2)=9
    y=7+3x
    x+(3x2)+y=180

    4x2+7+3x=180
    x=25
    y=7+3×25=82
    A=x=25,B=3x2=73

    C=y=82

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