In the figure, RQS QLK. What is the value of x? 
36, 72, 108, 144

Solution:

From the figure, 

By corresponding angles

m∠RQS = m∠QLK

By supplementary angles

m∠QLK + m∠KLM = 180

Consider m∠QLK = x

m∠KLM = x - 36

Substituting it we get

x + (x - 36) = 180

2x - 36 = 180

2x = 180 + 36

2x = 216

Dividing both sides by 2

x = 108 degrees

Therefore, the value of x is 108 degrees.

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In the figure, RQS QLK. What is the value of x? 

Summary:

 In the figure, RQS QLK. The value of x is 108 degrees.