Question

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

Answer 1

x = 6

Step-by-step 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=(37x+5-(23x-5))/(2)`

Solving for x, we get:

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

Therefore, the value of x is 6.