Answer:
The measure of x is;
[tex]x^{\circ}=145^{\circ}[/tex]
Explanation:
Given the figure in the attached image.
to solve for x;
since line JK and KL are congruent, then the arc JK and KL are congruent;
[tex]JK\cong KL\cong x^{\circ}[/tex]
The sum of the angles in the circumference of the circle is;
[tex]\begin{gathered} 2x^{\circ}+70^{\circ}=360^{\circ} \\ 2x^{\circ}=360^{\circ}-70^{\circ} \\ 2x^{\circ}=360^{\circ}-70^{\circ} \\ 2x^{\circ}=290^{\circ}^{} \\ x^{\circ}=\frac{290^{\circ}}{2} \\ x^{\circ}=\frac{290^{\circ}}{2} \\ x^{\circ}=145^{\circ} \end{gathered}[/tex]
Therefore, the measure of x is;
[tex]x^{\circ}=145^{\circ}[/tex]
