In the figure, anglerqs is-congruent-to angleqlk. 3 lines are shown. lines s p and k n are parallel. line r m intersects line s p at point q, and intersects line k n at point l. angle r q s is x degrees. angle k l m is (x minus 36) degrees. what is the value of x?

x=108

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠RQS≅m∠QLK -----> by corresponding angles

m∠KLM+m∠QLK=180° -----> by supplementary angles (consecutive interior angles)

we have that

m∠RQS=x° ----> given problem

so

m∠QLX=x°

m∠KLM=(x-36)° ----> given problem

substitute

step-by-step explanation: