Question

How many pairs of vertical angles are formed when a transversal cuts two parallel lines?

• A. $1$
• B. $2$
• C. $4$
• D. None of the above

Answer 1

The correct option is C $4$

Firstly we will draw a figure of a transversal cutting two parallel lines.
$\text{Vertical angles}$ are pairs of opposite angles made by two intersecting lines.

In the above figure, We have the following pairs of vertical angles:
$\bullet$ $\angle 1$ and $\angle 3$
$\bullet$ $\angle 2$ and $\angle 4$
$\bullet$ $\angle 5$ and $\angle 7$
$\bullet$ $\angle 6$ and $\angle 8$

Hence, we can conclude that $4$ pairs of vertical angles are formed when a transversal cuts two parallel lines.

So, option(c.) is correct.