Question

which angles are vertical to each other? ∠11 and ∠6 ∠11 and ∠5 ∠5 and ∠8 ∠10 and ∠12

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are pairs of opposite angles formed by two intersecting lines.

Step2: Analyze each pair

• For \(\angle11\) and \(\angle6\): They are not formed by two intersecting lines as opposite angles.
• For \(\angle11\) and \(\angle5\): They are not formed by two intersecting lines as opposite angles.
• For \(\angle5\) and \(\angle8\): They are adjacent angles (share a common side and vertex), not vertical angles.
• For \(\angle10\) and \(\angle12\): They are formed by two intersecting lines and are opposite angles.

Answer:

\(\angle10\) and \(\angle12\)