Question

1. which pair of angles shown below are vertical angles?

a. 1 & 2 c. 2 & 3
b. 1 & 3 d. 3 & 4

Explanation:

Step1: Recall Vertical Angles Definition

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

Step2: Analyze Each Option

• Option A: Angles 1 and 2 share a common side and are adjacent, forming a linear pair, not vertical angles.
• Option B: Angles 1 and 3 are opposite each other when two lines intersect, so they are vertical angles.
• Option C: Angles 2 and 3 share a common side and are adjacent, forming a linear pair, not vertical angles.
• Option D: Angles 3 and 4 share a common side and are adjacent, forming a linear pair, not vertical angles.

Answer:

B. 1 & 3