Prove that the straight lines perpendicular to the same straight line

1.	Prove that the straight lines perpendicular to the same straight line are parallel to one another.
Answer» Let AB and CD perpendicular to the line MN ∠ABD = 90°(Since, AB perpendicular MN) (i) ∠CON = 90°(Since, CD perpendicular MN) (ii) Now, ∠ABD = ∠CON = 90° Therefore, AB ‖ CD (Since, corresponding angles are equal)

Prove that the straight lines perpendicular to the same straight line are parallel to one another.

Answer»

Let AB and CD perpendicular to the line MN

∠ABD = 90°(Since, AB perpendicular MN) (i)

∠CON = 90°(Since, CD perpendicular MN) (ii)

Now,

∠ABD = ∠CON = 90°

Therefore,

AB ‖ CD (Since, corresponding angles are equal)