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using the following diagram, determine whether the angles are vertical …

Question

using the following diagram, determine whether the angles are vertical angles, a linear pair, or neither. ∠4 and ∠5

Explanation:

Step1: Recall angle - pair definitions

Vertical angles are opposite angles formed by two intersecting lines. A linear pair is a pair of adjacent angles whose non - common sides are opposite rays.

Step2: Analyze ∠4 and ∠5

∠4 and ∠5 share a common side and their non - common sides are not opposite rays. They are adjacent angles. Also, they are not opposite angles formed by two intersecting lines.

Answer:

b. linear pair