Question

10) If two straight lines are perpendicular to the same line prove that they are parallel to each other.​

Answer 1

Question :-

• If two straight lines are perpendicular to the same line prove that they are parallel to each other.

Solution

Let,

• The two lines x and y perpendicular to the same line m

So,

∠1 = 90°

∠2 = 90°

∠1 = ∠2 $\sf$

But these angles from a pair of equal corresponding angles

Hence :-

• x || y

Proved