Answer:
[tex]x=\text{ 42\degree}[/tex]Step-by-step explanation:
We can find the value of x by using the theorem for inscribed angles, an inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. It is given by the following equation:
[tex]\text{Inscribed angle=}\frac{1}{2}\text{ Intercepted arc}[/tex]Therefore,
[tex]\begin{gathered} x=\frac{1}{2}(84) \\ x=\text{ 42\degree} \end{gathered}[/tex]