Solve this system using the substitution method and state the solution: y = 3x - 2 and x + y = -6

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.