Question

In the figure, write down each linear pair.

Answer 1

Hint: We have to find the pair of angles which have a common vertex, a common arm, and lie on a straight line. Also, those angles should not overlap each other. Such pairs of angles are known as linear pairs.

Complete step-by-step answer:
In this question, we have to identify the linear pairs from the given figure.
As we the two lines meet to form an angle. The point is known as vertex and the lines are known as arms of an angle.
Write the pair such that the pair has a common vertex, common arm and lies on a straight line which will represent a linear pair.
Therefore, the linear pairs in this figure, are:
 $
  \angle 1 + \angle 2 \\
  \angle 1 + \angle 3 \\
  \angle 4 + \angle 2 \\
  \angle 3 + \angle 4 \\
  \angle 5 + \angle 6 \\
  \angle 7 + \angle 5 \\
  \angle 7 + \angle 8 \\
  \angle 6 + \angle 8 \\
$
 There is a total of 8 linear pairs in this figure.
Note:- We have to consider the angles on the same line with a common vertex and common arm. Many students make mistakes by taking just the pair which is on the same line. Also, the sum of the linear pair is 180°