From the diagram,
The angles, 127 degrees at arc AB and arc CD shows that the Chords AB and CD are equal
[tex]\begin{gathered} \text{chord AB = chord CD} \\ \text{that is} \\ 5x\text{ = 3x + 6} \\ \text{collect like terms} \\ 5x\text{ - 3x = 6} \\ 2x\text{ = 6} \\ \text{divide both sides by 2} \\ x\text{ = }\frac{6}{2} \\ x\text{ = 3} \end{gathered}[/tex]Therefore, the value of x = 3
