Answer:
C. 108.
Step-by-step explanation:
We have been given a diagram, in which angle RQS is congruent to angle QLK. We are asked to find the value of x.
We can see that angle QLK and angle MLK are supplementary angles, so we can set an equation as:
[tex]x+x-36=180[/tex]
[tex]2x-36=180[/tex]
Upon adding 36 on both sides of our equation we will get,
[tex]2x-36+36=180+36[/tex]
[tex]2x=216[/tex]
Now, we will divide both sides of our equation by 2.
[tex]\frac{2x}{2}=\frac{216}{2}[/tex]
[tex]x=108[/tex]
Therefore, the value of x is 108 and option C is the correct choice.
