Question

Find x and y, given that line KL and line MN are parallel. Please show how you got your answer.

Answer 1

Answers: 
x = 19/2 = 9.5
y = 44/3 = 14.667
The decimal value of y is approximate

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The triangles are similar. So the corresponding sides form a proportion

KM/KJ = LN/LJ
(x-2)/5 = 12/8
8(x-2) = 5*12
8x-16 = 60
8x = 60+16
8x = 76
x = 76/8
x = 19/2
x = 9.5

Similarly,
MN/KL = LN/LJ
22/y = 12/8
22*8 = 12y
12y = 176
y = 176/12
y = 44/3
y = 14.667 (value is approximate)