ANSWER:
10
STEP-BY-STEP EXPLANATION:
We can calculate the value of x taking into account the following property of the angles inscribed within a circle, like this:
If we apply it in this case, we can plan the following equation:
[tex]\frac{5x+15+55}{2}=60[/tex]
Solving for x:
[tex]\begin{gathered} 5x+15+55=2\cdot60 \\ 5x=120-70 \\ x=\frac{50}{5} \\ x=10 \end{gathered}[/tex]
The value of x is 10
