Geometry

Question Analysis

This question involves the concept of Vertical angles.

 

Key Concept Explanation:

Vertical angles are congruent. When two lines intersect, the non - adjacent angles formed are vertical angles and they have equal measures.

 

Step-by-Step Solution

1. Examine the given figure with intersecting lines.

2. Look for the angle that forms a vertical angle pair with ∠3.

3. Notice that ∠1 and ∠3 are vertical angles.

 

Option Analysis

A.∠2: It is adjacent to ∠3, so it is not congruent to ∠3.

B.∠5: It is also adjacent to ∠3 and not congruent to it.

C.∠4: It is part of a different angle relationship with ∠3 and not congruent.

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