Geometry

Question Analysis

This question involves determining the number of pairs of alternate interior angles formed when a transversal intersects two lines. The main focus is on understanding the concept of alternate interior angles.

 

Key Concept Explanation

When a transversal intersects two lines, it creates eight angles. Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two lines.

 

Step-by-Step Solution

Examine the given diagram. Look for angles that are between the two lines and on opposite sides of the transversal.

Angle 1 and angle 7 are alternate interior angles. They are between the two intersected lines and on opposite sides of the transversal.

Angle 4 and angle 6 are also alternate interior angles for the same reason.

 

So, the number of pairs of alternate interior angles when a transversal intersects two lines is 2. The answer is A.