Respuesta :

According to parallelogram:

[tex]3y=12x[/tex]

And

[tex]6x+12x=180[/tex]

So simplifying these:

[tex]\begin{gathered} 18x=180 \\ x=10 \end{gathered}[/tex]

now put it in 1 equation:

[tex]\begin{gathered} 3y=12(10) \\ y=\frac{120}{3} \\ y=40 \end{gathered}[/tex]

So the given angles are:

[tex]\begin{gathered} 3y=3(40)=120 \\ 6x=6(10)=60 \\ 12x=12(10)=120 \end{gathered}[/tex]