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geometry

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<DEF and <ABC are supplementary angles and <DEF is seven times as large as <ABC. Determine the measures of each angle. Students must show all work step by step to receive full credit.

  • geometry - ,

    supplementary angles= 180 degrees, therefore divide 180 by 7.

  • geometry - ,

    ABC = X deg.
    DEF = 7X deg.

    x + 7x = 180 deg.
    8X = 180,

    X = ABC = 22.5 deg.

    7X = DEF = 7 * 22.5 = 157.5 deg.

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