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17 June, 19:04

What is the measure of angle A in the triangle?

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m∠A =

°



A triangle labeled ABC with angle A as parenthesis two X minus ten parenthesis degrees, angle B as seventy degrees and angle C as parenthesis X plus thirty parenthesis degrees

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Answers (2)
  1. 17 June, 19:14
    0
    m∠A = 50

    Step-by-step explanation:

    Given "A triangle labeled ABC with angle A as parenthesis two X minus ten parenthesis degrees, angle B as seventy degrees and angle C as parenthesis X plus thirty parenthesis degrees",

    it can be written out as:

    m∠A = 2x-10

    m∠B = 70

    m∠C = x+30

    As the sum of interior angles = 180 for a triangle,

    2x-10+70+x+30=180

    3x=180-30-70+10=90

    x=30

    m∠A = 2 (30) - 10 = 60-10

    = 50
  2. 17 June, 19:33
    0
    Angle A = 50

    Step-by-step explanation:

    We know the 3 angles of a triangle add to 180

    A + B+C = 180

    2x-10 + 70 + x+30 = 180

    Combine like terms

    3x+90 = 180

    Subtract 90 from each side

    3x+90-90=180-90

    3x = 90

    Divide by 3

    3x/3 = 90/3

    x = 30

    We want to find angle A

    Angle A = 2x-10

    = 2 (30) - 10

    = 60-10

    = 50
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