Proving Lines Parallel Answers

Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k?converse of the corresponding angles theoremconverse of the alternate interior angles theoremconverse of the same side interior angles theoremconverse of the alternate exterior angles theorem

Angle 3 = [___]°

Angle 4 = [___]°

Question text not available

x = [___]°

y = [___]°

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 [___].

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 [___].

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 [___].

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 [___].

Given: ∠T ≅ ∠V; ST || UVProve: TU || VW

givenlinear pair postulate✔ transitive property

✔ converse alternate interior angles theoremconverse corresponding angles theoremconverse alternate exterior angles theorem