Question

Look at the following figure and fill in the blanks :

In the figure, $l$ and $m$ are the parallel lines and $p$is a transversal.

Pair of vertically opposite angles are :

$\angle 5$ and ………………….

Answer 1

Vertically opposite angles :

When two lines intersect, the opposite angles are equal. These angles are called vertically opposite angles because they are opposite to each other at a vertex. As shown in the given figure :

Here. $\angle 1,\angle 3$ and $\angle 2,\angle 4$are two pairs of vertically opposite angles that are equal to each other.

Similarly, as per the question :

$\angle 5$ and $\angle 7$ are opposite to each other.

So, angles $\angle 5$ and $\angle 7$ are vertically opposite angles.

Hence pair of vertically opposite angles are $\angle 5$ and $\angle 7$.