Given the figure of two intersected lines
As we know, the vertical angles are congruent
So,
[tex]12x+59=95[/tex]
Solve for x:
[tex]\begin{gathered} 12x=95-59 \\ 12x=36 \\ x=\frac{36}{12} \\ x=3 \end{gathered}[/tex]
Now, we will find the value of z:
The angles z and 95 are supplementary angles
The sum of the angles = 180
So,
[tex]\begin{gathered} z+95=180 \\ z=180-95 \\ z=85 \end{gathered}[/tex]
So, the answer will be:
[tex]\begin{gathered} x=3 \\ z=85 \end{gathered}[/tex]
