#### Question

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

another.

#### Solution

Let *A**B *and *CD *perpendicular to the Line MN

*`∠`ABD *= 90° [∵ *AB * ⊥ *M**N *] ......(*i *)

*`∠`*CON = 90° [ ∵ CD ⊥ MN] ......(ii)

Now,

*`∠`ABD *= *`∠`**CDN *= 90° [From (i) and (ii)]

∴*AB *|| *CD*, Since corresponding angles are equal.

Is there an error in this question or solution?

Solution Prove that the Straight Lines Perpendicular to the Same Straight Line Are Parallel to One Another. Concept: Parallel Lines and a Transversal.