Question

which angles are congruent to each other?
∠5 and ∠1
∠11 and ∠3
∠3 and ∠1
∠6 and ∠3

Explanation:

Step1: Recall vertical angles property

Vertical angles are congruent. Vertical angles are opposite angles formed by two intersecting lines.

Step2: Analyze each pair

• For \(\angle5\) and \(\angle1\): Not vertical angles.
• For \(\angle11\) and \(\angle3\): Not vertical angles.
• For \(\angle3\) and \(\angle1\): They are vertical angles (formed by two intersecting lines).
• For \(\angle6\) and \(\angle3\): Not vertical angles.

Answer:

\(\angle3\) and \(\angle1\)