Question

if a transversal crosses three non - parallel lines, how many pairs of vertical angles are formed? explain your answer.

Explanation:

Step1: Recall vertical - angle concept

Each intersection of two lines forms 2 pairs of vertical angles.

Step2: Calculate number of intersections

3 non - parallel lines intersected by a transversal form 3 intersections.

Step3: Calculate vertical - angle pairs

$3\times2 = 6$ pairs.

Answer:

6 pairs