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Math

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In the triangle ABC, angle ABC is x, angle BCA is x+40, and angle CAB is 2x. What is the measure of the largest angle (in degrees) ?

  • Math -

    A = 2X, B = X, C = (X + 40).

    A + B + C = 180 deg.
    2x + x + (x + 40) = 180,
    4x + 40 = 180,
    4x = 180 - 40,
    4x = 140,

    x = B = 140 / 4 = 35 deg.

    2X = A = 2*35 = 70 deg.

    (x + 40) = C = 35 + 40 = 75 deg = Largest angle.

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