Answer:
x = 8
Step-by-step explanation:
Look at the picture.
We have the equations:
[tex]\alpha+(9x-6)+58=180\qquad(1)[/tex]
and
[tex]\alpha+16x-4=180\qquad(2)[/tex]
From (1) and (2) we have:
[tex]\alpha+16x-4=\alpha+9x-6+58\qquad\text{subtract}\ \alpha\ \text{from both sides}\\\\16x-4=9x+52\qquad\text{add 4 to both sides}\\\\16x=9x+56\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\7x=56\qquad\text{divide both sides by 7}\\\\x=8[/tex]
