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Posted by on Wednesday, March 14, 2012 at 7:01pm.

The measure of one angle is 15 degrees more than half the measure of its complement. Find the measure of the two angles.

  • math - , Thursday, March 15, 2012 at 6:36pm

    A = Compliment = X Deg.
    B = (X/2 + 15) Deg.

    The sum of complimentary angles = 90 Deg.
    X + (X/2+15) = 90 Deg.
    Multiply both sides by 2:
    2x + x + 30 = 180.
    3x = 180 - 30 = 150.

    X = 150 / 3 = 50 Deg.
    x/2 + 15 = 50/2 + 15 = 40 Deg.

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