Question

show that two lines parallel to the same line are parallel to each other...i want meaningful ans and not something rubbish...​

Answer 1

Consider a line l, and suppose that we draw two more lines m and n such that

l║m and l ║n

Draw any transversal across the three lines, as we have done above, and note that

∠ 1  =  ∠ 2  (corresponding angles)

∠ 2  =  ∠ 3  (corresponding angles)

Thus,

∠ 1  =  ∠ 3

This proves that m must be parallel to n.