Algebra word problem?

Two angles are supplementary if their sum is 180 degrees. The larger angle measures more than ten times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

Comments

  • x + larger angle = 180

    Since the problem says "more than," you use an inequality.

    larger angle > 10x

    There is no exact solution.

    If you meant the larger angle's measure equals ten times the smaller angle's measure, then

    x + 10x = 180

    11x = 180

    x = 16 4/11

    larger angle = 10(16 4/11) = 160 40/11 = 163 7/11

  • A+B=180--EQ(1)

    A=10B

    SUB IN EQ 1

    10B+B=180

    11B=180

    B=180/11=16.36 DEG

    A=180-B=180-16.36=163.64

    A=163.64DEG

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