Question

Given: l || m; ∠1 ∠3 Prove: p || q Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the

Answer 1

Answer:

We know that angle 1 is congruent to angle 3 and that line l is parallel to line m It is Given because. We see that Angle 2 is congruent to Angle 3 by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem.

Answer 2

Answer:

p║q hence proved.

Step-by-step explanation:

In the question given parameters are line l║m and ∠1 = ∠3

and we have to prove p║q.

Since ∠1 = ∠3 (given)

Opposite angle of ∠1 = ∠2 (Alternate interior angles)

Therefore ∠2 = ∠3 (Transitive property)

∠2 = ∠3 are congruent when lines p and q are parallel and lines l and m are transverse.

Therefore p║q.

Hence proved.