Question

The supplement of an angle is 12 less than 3 times the angle. Find the angle and its supplement​

Answer 1

`\text{Angle: }48^(\circ),\\\text{Angle's supplement: }132^(\circ)`

Explanation:

Let the angle be
`\theta`. Supplementary angles are angles that add up to
`180^(\circ)`. Therefore, we can set up the following equation:

For some angle
`\theta`, the supplement of
`\theta` will be
`180-\theta`.

`3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=(192)/(4)=\boxed{48^(\circ)}`

Now solving for the supplement:

`\text{Supplement}=180-\theta=180-48=\boxed{132^(\circ)}`