Question

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

Answer 1

the answer is 108. I took the test :D

Answer 2

we know that

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

and

m∠QLK+m∠KLM=
`180` -------> by supplementary angles

m∠QLK=
`x`

m∠KLM=
`(x-36)`

substitute

`x+(x-36)=180\\ 2x=180+36\\\\ x=(216)/(2) \\ \\ x=108\ degrees`

therefore

the answer is

the value of x is
`108\ degrees`