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17 October, 19:56

The ratios of measures of the angles in Triangle ABC is 4:13:19. Find the measures of each of the angles. Show all of your work/explain in order to receive full credit.

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  1. 17 October, 20:44
    0
    20

    65

    95

    Step-by-step explanation:

    Remark

    You have to use a constant to get the ratio so that it will produce angles that will add up to 180. Let that constant = x

    Equation

    4x + 13x + 19x = 180

    Solution

    Add the like terms on the left.

    36x = 180

    Divide both sides by 36

    36x/36 = 180 / 36

    Combine

    x = 5

    Answer

    4x = 20

    13x = 65

    19x = 95

    Total = 180
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