a) x=18.25
b)
[tex]\text{angle }\measuredangle2=145[/tex]Explanation
Step 1
Two angles are called complementary when their measures add to 90 degrees.
it means
[tex]\text{angle }\measuredangle1\text{ +angle}\measuredangle2=90[/tex]replacing
[tex]\begin{gathered} 35+(8x-1)=180 \\ 35+8x-1=180 \\ \text{add similater terms} \\ 8x+34=180\text{ Equation} \end{gathered}[/tex]Step 2
solve the equation
[tex]\begin{gathered} 8x+34=180 \\ \text{subtract 34 in both sides} \\ 8x+34-34=180-34 \\ 8x=146 \\ \text{divide both sides by 8} \\ \frac{8x}{8}=\frac{146}{8} \\ x=18.25 \end{gathered}[/tex]so,x=18.25
Step 3
find the measure of 2
[tex]\begin{gathered} \text{angle }\measuredangle2=8x-1 \\ \text{replacing} \\ \text{angle }\measuredangle2=8(18.25)-1 \\ \text{angle }\measuredangle2=146-1 \\ \text{angle }\measuredangle2=145 \end{gathered}[/tex]I hope this helps you
