Question

in which diagram are angles 1 and 2 vertical angles?

Explanation:

Step1: Recall vertical angles definition

Vertical angles are formed by two intersecting lines, opposite each other, sharing a common vertex but no common side (except the vertex).

Step2: Analyze each diagram

• Diagram 1: Angles 1 and 2 share a common side, not vertical.
• Diagram 2: Angles 1 and 2 are adjacent, not vertical.
• Diagram 3: Angles 1 and 2 are opposite (formed by intersecting lines), match vertical angles.
• Diagram 4: Angles 1 and 2 share a common side/vertex in a non - intersecting - lines - forming - vertical - angles way.

Answer:

The third diagram (the one with two intersecting lines forming angles 1 and 2 opposite each other)