Answer:
The value of [tex]q[/tex] is [tex]\mathbf{6}[/tex]
Step-by-step explanation:
The sum of the angles [tex](9q-8)^\circ[/tex] and [tex]134^\circ[/tex] should be equal to [tex]180^\circ[/tex]
[tex](9q-8)+134^\circ=180^\circ[/tex]
therefore
[tex]9q-8^\circ+134^\circ=180^\circ\\9q=180^\circ-134^\circ+8^\circ\\9q=54^\circ\\q=\frac{54^\circ}{9} \;\;\;\;\;\;\;\;\;\;\Rightarrow\;\;\;\;\;\;\;\;\;\;\mathbf{q=6^\circ}[/tex]
