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13 August, 04:06

When two angles are

added together, they

form a 90° angle. One

of the angles is 1/2 the

other. How large Is the

smaller angle?

+2
Answers (1)
  1. 13 August, 07:23
    0
    30 degrees

    Step-by-step explanation:

    this can be expressed by x+y=90.

    1/2y=x

    multiply both sides by two to isolate y

    y=2x

    now sub in 2x for y in the first equation

    x+2x=90, 3x=90, divide both sides by 3 to isolate x,

    x=90/3=30

    now subtract the value of x from 90 to find y

    90-x=y, 90-30=y, 60=y

    the smaller angle is 30 degrees.
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