Question

Line AB intersects parallel lines CD anf EF at two distinct points. How many pairs of corresponding angles would be formed?

Answer 1

The given situation is an example of A transversal.

Concept: When two parallel lines are intersected by a third line(transversal line), the angles that occupy the same relative position at each intersection are called corresponding angles to each other.

Let's name angles formed by transversal line $AB$ and parallel lines $CD\&EF$
The figure is depicted below:

Here, pair of corresponding angles are :

• $\angle 1\&\angle 2$
• $\angle 3\&\angle 4$
• $\angle 5\&\angle 8$
• $\angle 6\&\angle 7$

$\therefore$ Total 4 pairs of corresponding angles would be formed by given tansversal and parallel lines.