Question

It says that I need to solve for x. How do I do that?

Answer 1

Answer:

x = 6

Explanation:

Taking into account the outside Angle theorem, we can write the following equation:

$m\angle V=\frac{m\angle WPU-\text{m}\angle\text{WU}}{2}$

Where P is a point in the arc 37x + 5.

So, replacing the expressions, we get:

$5x+17=\frac{37x+5-(23x-5)}{2}$

Solving for x, we get:

$\begin{gathered} 5x+17=\frac{37x+5-23x+5}{2} \\ 2(5x+17)=2\cdot\frac{37x+5-23x+5}{2} \\ 10x+34=37x+5-23x+5 \\ 10x+34=14x+10 \\ 34-10=14x-10x \\ 24=4x \\ \frac{24}{4}=\frac{4x}{4} \\ 6=x \end{gathered}$

Therefore, the value of x is 6.