Question

In Fig. name each linear pair and each pair of vertically opposite angles:

Answer 1

Concept: Linear pair of angles are formed when two lines intersect each other at a single point.

$\angle AOP$ and $\angle BOP$ are Linear pair.

Linear pairs of the given figure are :

$\angle 1$ and $\angle 2$

$\angle 2$ and $\angle 3$

$\angle 3$ and $\angle 4$

$\angle 1$ and $\angle 4$

$\angle 5$ and $\angle 6$

$\angle 6$ and $\angle 7$

$\angle 7$ and $\angle 8$

$\angle 8$ and $\angle 5$

$\angle 9$ and $\angle 10$

$\angle 10$ and $\angle 11$

$\angle 11$ and $\angle 12$

$\angle 12$ and $\angle 9$

Concept: Two angles formed by two intersecting lines having no common arms are called vertically opposite angles.

$\angle BOC$ and $\angle AOD$ are a pair of vertically opposite angle.

Vertically opposite angles of the given figure are:

$\angle 1$ and $\angle 3$

$\angle 4$ and $\angle 2$

$\angle 5$ and $\angle 7$

$\angle 6$ and $\angle 8$

$\angle 9$ and $\angle 11$

$\angle 10$ and $\angle 12$