The diagram of the three angles is shown below with point U as the point where all three lines meet.
Angles property: Angles around a point add up to 360°
We set up an equation
[tex]175+17x-3+17x+8=360[/tex]
[tex]180+34x=360[/tex]
[tex]34x=360-180[/tex]
[tex]34x=180[/tex]
[tex]x= \frac{180}{34}= \frac{90}{17} [/tex]