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15 May, 07:35

Let mA = 40°. If B is a complement of A, and C is a supplement of B, find these measures.

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  1. 15 May, 10:59
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    If B is a complement of A this means that the sum of the measures of A and B is 90 degrees.

    mA + mB = 90

    mB = 90 - mA

    mB = 90 - 40 = 50

    Thus, the measure of angle B is 50 degrees.

    If C is a supplement of B then, the sum of the measures of B and C is 180 degrees.

    mC + mB = 180

    mC = 180 - mB

    mC = 180 - 50 = 130

    Therefore, the measure of angle C is 130 degrees.
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