Answer :

We have the following:

We have that the size of the side is related to the opposite angle, that is, the larger the side, the greater the angle is the same in the opposite direction, which means that both angles are equal, the sides are also equal, for Therefore we can calculate as follows:

[tex]\begin{gathered} 5y-4=y+12 \\ 5y-y=12+4 \\ 4y=16 \\ y=\frac{16}{4}=4 \end{gathered}[/tex]

now, for x:

[tex]\begin{gathered} 3x-5=5y-4 \\ 3x-5=5\cdot4-4 \\ 3x=16+5 \\ x=\frac{21}{3}=7 \end{gathered}[/tex]

Therefore, the answer is y = 4 and x = 7