valentina08 valentina08
  • 06-12-2019
  • Mathematics
contestada

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?

Respuesta :

iamtaha334
iamtaha334 iamtaha334
  • 06-12-2019

Answer:

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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