Given data:
The given figure is shown.
The expression for the angle sum property for the right side triangle.
[tex]\begin{gathered} 49^{\circ}+55^{\circ}+y=180^{\circ} \\ y=76^{\circ} \end{gathered}[/tex]
The angle 76 degrees is vertical opposite angle in the left side triangle.
[tex]\begin{gathered} 35^{\circ}+76^{\circ}+x^{\circ}=180\circ \\ 111^{\circ}+x^{\circ}=180^{\circ} \\ x=69 \end{gathered}[/tex]
Thus, the value of x is 69, so option (A) is correct.
