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.

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true