Use the diagram to answer the question.
Corresponding Angles Flow Proof
Given: m angle 5 equals 40 degrees, m angle 2 equals 140 degrees
Prove: line a is parallel to line b
A pair of horizontal parallel lines, lower a and lower b, are intersected by a single diagonal line pointing upward toward left and downward toward right.
Angle 1 is on right side of intersecting line and above top line a.
Angle 2 is on left side of intersecting line and under top line.
Angle 4 is on right side of intersecting line and above line b.
Angle 5 is on left side of intersecting line and above line b c.
A flow chart is shown.
The flow proof shows the statements that lead to the conclusion that a∥b
in the diagram. The reasons for each statement in the flow proof are missing. Identify the reasons for each of the 5 statements shown in the flow proof. In your response, label the steps a-e.
(2 points)
a: Angle 1 is congruent to angle 4 (Vertical angles are congruent)
b: Angle 2 is congruent to angle 5 (Vertical angles are congruent)
c: Angle 2 and angle 4 form a linear pair (Linear pairs are supplementary)
d: Angle 1 and angle 2 are supplementary (Alternate interior angles are congruent when a transversal intersects parallel lines)
e: Line a is parallel to line b (If alternate interior angles are congruent, then the lines are parallel)