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 .

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.

is there answer choices?

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.