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31 December, 04:01

The Measure of the supplement of an angle is 40 degrees more than the measure of the angle. Find the number of degrees in each angle.

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  1. 31 December, 06:25
    0
    The two angles are 70° and 110°

    Step-by-step explanation:

    Let the two angles be x and y be two angles

    As they are supplement angles

    x+y=180- - (A)

    The angle measures 40° more than the measure of its supplement angle

    Hence

    x=y+40

    x-y=0 - - (B)

    adding A and B

    2x=220

    Dividing both sides by 2 we get

    x=110

    Hence putting this value in (A)

    110+y=180

    y=180-110

    y=70
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