Question

proving parallel lines with alternate exterior angles given: ∠1≅∠2 prove: p || q assemble the proof by dragging tiles to the statements and reasons columns.

Explanation:

Step1: State the given

$\angle1\cong\angle2$ (Given)

Step2: Identify angle - angle relationship

$\angle1$ and $\angle2$ are alternate exterior angles.

Step3: Apply parallel - line theorem

If alternate exterior angles are congruent, then the lines are parallel. So, $p\parallel q$ (Alternate Exterior Angles Converse)

Answer:

Statements	Reasons
$\angle1$ and $\angle2$ are alternate exterior angles	Definition of alternate exterior angles
$p\parallel q$	Alternate Exterior Angles Converse