Question

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

Answer 1

Answer:

$\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}$

Step-by-step 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 $180-\theta$.

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

Now solving for the supplement:

$\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}$