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31 January, 08:08

Suppose that angle LAP and angle LAR are adjacent angles, angle LAP = 3x + 7, angle LAR = 4 (x-4), And angle PAR = 2 (3x+7). What can you conclude about line AL?

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  1. 31 January, 10:53
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    AL is a bisector

    Step-by-step explanation:

    LAP = 3x + 7

    LAR = 4 (x - 4) = 4x - 16

    PAR = 2 (3x + 7) = 6x + 14

    If you see the figure I drew (something you should infer from the problem.

    LAP + LAR = PAR

    3x + 7 + 4x - 16 = 6x + 14

    3x + 4x - 6x = 14 + 16 - 7

    x = 23

    LAP = 3 * 23 + 7 = 76

    LAR = 4 * 23 - 16 = 76

    Meaning line AL is dividing PAR into 2 equal parts
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Home » Mathematics » Suppose that angle LAP and angle LAR are adjacent angles, angle LAP = 3x + 7, angle LAR = 4 (x-4), And angle PAR = 2 (3x+7). What can you conclude about line AL?
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