Question

Can you help me solve this? I’m supposed to solve for x

Answer 1

The measure of x is;

`x^(\circ)=145^(\circ)`

Step-by-step 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;

`JK\cong KL\cong x^(\circ)`

The sum of the angles in the circumference of the circle is;

`\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)=(290^(\circ))/(2) \\ x^(\circ)=(290^(\circ))/(2) \\ x^(\circ)=145^(\circ) \end{gathered}`

Therefore, the measure of x is;

`x^(\circ)=145^(\circ)`