Question

I need help! It’s a homework question that is due very soon, and I need to show the answers it’s one of the only two questions I didn’t do!

Answer 1

Since:

$\Delta RWS\cong\Delta TUV$

We can conclude:

Using the triangle sum theorem:

$8x-27+90+29=180$$\begin{gathered} 8x+92=180 \\ 8x=180-92 \\ 8x=88 \\ x=\frac{88}{8} \\ x=11 \end{gathered}$

Finally:

$\begin{gathered} SR=TV \\ 3y+7=25 \\ 3y=25-7 \\ 3y=18 \\ y=\frac{18}{3} \\ y=6 \end{gathered}$

Answer:

x = 11

y = 6