geometry

The measure of the angle’s supplement is 50 degree more than five times that of its complement. Find the measure of the angle described.

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  1. let the angle be x
    then its supplement is 180 - x
    and its compliment is 90-x

    angle's supplement is 50 more than 5 times its compliment
    180-x = 5(90-x) + 50
    180-x = 450 - 5x + 50
    4x = 320
    x = 80

    the angle described is 80°

    check:
    the supplement is 100
    the compliment is 10

    is 100 fifty more than 5 times 10 ?
    YES!

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