Geometry

Question Analysis

This question involves identifying which angle forms a linear pair with an angle when a transversal intersects two lines. The main focus is on understanding the concept of linear pair angles and their properties.

 

Key Concept Explanation

A linear pair of angles is formed when two lines intersect. The two angles in a linear pair are adjacent, share a common side, and their non-common sides form a straight line. Their sum is 180 degrees.

 

Option Analysis

Option A: ∠2 and ∠4 are non-adjacent angles, and they are directly opposite each other at the intersection point, making them vertical angles.

Option B: ∠3 and ∠4 are adjacent and form a straight line, making them a linear pair.

Option C: ∠5 and ∠4 are on the same side of the transversal and inside the two lines, making them same side interior angles.

Option D: ∠6 and ∠4 are on opposite sides of the tran...