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< = Angle

<R and <S are complementary angles, and <U and <V are also complementary angles. If m<R=y-2, m<S=2x+3, m<U=2x-y, and m<V=x-1, find the values of x, y, m<R, m<S, m<U, and m<V

  • math -

    y-2 + 2x+3 = 90
    2x + y = 89

    2x-y + x-1 = 90
    3x - y = 91

    add the two equations
    5x = 180
    x = 36

    take it from there,
    sub x=36 into one of the equations above to find y, then evaluate each of the angles

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