Question

in the following diagram, two parallel lines are cut by a transversal. the measure of which angle is equal to the measure of ∠1? m∠2 m∠3 m∠4 m∠6

Explanation:

Step1: Analyze angle relationships

When two parallel lines are cut by a transversal, vertical angles are equal.

Step2: Identify vertical angles

$\angle1$ and $\angle3$ are vertical angles.

Answer:

$m\angle3$