Question

angles y and z are supplementary angles. if y is 2/3 of z, what is y?

Answer 1

If y and z are supplementary angles, that means that if we add y+z we should get 180 degrees.

We also know that y is 2/3 of z, so we can write:

$\begin{gathered} y+z=180 \\ \frac{2}{3}z+z=180 \\ \frac{5}{3}z=180 \\ z=180\cdot(\frac{3}{5}) \\ z=\frac{540}{5} \\ z=108 \\ y=\frac{2}{3}z=\frac{2}{3}(108)=\frac{216}{3}=72 \end{gathered}$

Then, we know that y=72 degrees and z=108 degrees.