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?

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.