Answer:
The answer is below
Step-by-step explanation:
If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel.
If two angles are supplementary to the same angle, then the two angles are congruent.
Statement Reason
1) line p is parallel to line q Given
2) angle 1 and angle 4 are Given
supplementary i.e. ∠1 + ∠4
= 180° (definition of supplementary)
3) angle 3 and angle 4 are consecutive interior angles
supplementary
4) angle 1 congruent to angle 3 congruent supplements theorem
supplementary
5) line r parallel to line s corresponding angle converse
