we know that
m∠RQS=m∠QLK---------> by corresponding angles
and
m∠QLK+m∠KLM=[tex] 180 [/tex] -------> by supplementary angles
m∠QLK=[tex] x [/tex]
m∠KLM=[tex] (x-36) [/tex]
substitute
[tex] x+(x-36)=180\\ 2x=180+36\\\\ x=\frac{216}{2} \\ \\ x=108\ degrees [/tex]
therefore
the answer is
the value of x is [tex] 108\ degrees [/tex]
