Question

which angle pair represents vertical angles? a) 1 & 2 c) 1 & 5 b) 1 & 4 d) 1 & 7

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• Option A: ∠1 and ∠2 are adjacent angles, not vertical angles.
• Option B: ∠1 and ∠4 are vertical angles as they are opposite each other when two lines intersect.
• Option C: ∠1 and ∠5 are corresponding angles, not vertical angles.
• Option D: ∠1 and ∠7 are alternate - exterior angles, not vertical angles.

Answer:

B. 1 & 4