Question

When a transversal cuts two parallel lines, the number of pairs of corresponding angles formed are _______.

• A. 5
• B. 4
• C. 3
• D. 2

Answer 1

The correct option is B 4

When two or more parallel lines are cut by a transversal, the angle which occupy the same relative positions are called corresponding angles.
Since, in the given question, the number of parallel lines are two.
So, the required image as follows:

From the figure, the pair of corresponding angles are:
(i) $\angle 1$ and $\angle 5$
(ii)$\angle 2$ and $\angle 6$
(iii)$\angle 3$ and $\angle 7$
(iv) $\angle 4$ and $\angle 8$
Therefore, when a transversal cuts two parallel lines , then number of pairs of corresponding angles formed are $4$.