Geometry

Question Analysis

This question involves the concept of Vertical angles.

 

Key Concept Explanation:

Vertical angles are congruent. When two lines intersect, the pairs of opposite angles formed are called vertical angles.

 

Step-by-Step Solution

1. Observe the figure.

2. Identify the vertical angle of ∠2.

3. Notice that ∠2 and ∠5 are vertical angles.

 

Option Analysis

A.∠1: It is adjacent to ∠2, not congruent to it.

B.∠3: It is also adjacent to ∠2, not congruent.

C.∠5: As it is the vertical angle of ∠2, it is congruent to ∠2.

D.∠4: It has no direct congrue...