Respuesta :

In this problem we can use the properti of the oposite angle to know that:

[tex]5x+56=101[/tex]

and we can solve for x so:

[tex]\begin{gathered} 5x=101-56 \\ x=\frac{45}{5} \\ x=9 \end{gathered}[/tex]

now we can use the sum of complementary angle so:

[tex]5x+56+z=180[/tex]

and we replace the value of x and solve for z so:

[tex]\begin{gathered} 5(9)+56+z=180 \\ z=180-56-45 \\ z=79 \end{gathered}[/tex]