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25 November, 06:04

The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure of the angle

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  1. 25 November, 06:31
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    2 angle A and B are Complementary means that the sum of their measures is 90°.

    2 angle A and B are Supplementary means that the sum of their measures is 180°.

    Thus, if the measure of angle A is x:

    the measure of the supplement is 180°-x

    the measure of the complement is 90°-x

    "The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. "

    let the measure of the angle be x, then we have:

    180°-x=40°+2 (90°-x)

    180°-x=40°+180°-2x

    2x-x=40°

    x=40°

    Answer: 40°
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