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Two consecutive angles of a parallelogram have measures 4(x+5) and 2(3x+20) respectively. Find the measures of the angles

  • geometry -

    Any "two consecutive" angles of a parallelogram must be supplementary.

    so

    4(x+5) + 2(3x+20) = 180
    4x + 20 + 6x + 40 = 180
    10x = 120
    x = 12

    so sub that back into the originals to get
    68º and 112º

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