Question

For the diagram shown above, the total number of linear pairs is.

• A. $8$
• B. $6$
• C. $4$

Answer 1

The correct option is A $8$

A linear pair is a pair of adjacent angles formed when two lines intersect.

From the diagram shown, the pair of linear pairs are:
A. For Intersection of lines $AB\&CD$:
$\angle 1\&\angle 4;\angle 4\&\angle 3;\angle 3\&\angle 2;\angle 2\&\angle 1$
Similarly, for the intersection of the lines $AB\&PQ$
Linear pairs are:
$\angle 5\&\angle 6;\angle 6\&\angle 7;\angle 7\&\angle 8;\angle 8\&\angle 5$
$\therefore$ Combining these both we see, $8$ linear pairs.