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March 26, 2017

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How do you find each angle of a triangle if its angles are in the ratio 1:3:6?

  • geometry - ,

    1 = X Deg.
    3 = 3x Deg,
    6 = 6x Deg.

    X + 3X + 6X = 180 Deg.
    10X = 180,
    X = 18 Deg.
    3X = 3 * 18 = 54 Deg.
    6X = 6 * 18 = 108 Deg.

  • geometry - ,

    You know their sum must add up to 180
    let the angles be x, 3x and 6x

    solve x + 3x + 6x = 180

    sub the value of x back into the definitions

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