Question

In the adjoining figure, identify the pair of alternate interior angles.

Answer 1

Hint: The pair of alternate interior angles means when two lines are crossed by another line then the angle to the inner side of each of those two lines but on the opposite side of the third line.

Here a and b are pairs of alternate interior angles.

Complete step-by-step answer:
It is given in the question that we have to identify the pair of alternate interior angles, the given figure is

When two parallel lines are crossed by a third line called transverse line then the pair of alternate interior angles are formed. Basically the angle of the inner side of each of those two lines but on the opposite side of the third line is called the pair of alternate interior angles.
In the given figure ‘P’ and ‘Q’ lines are parallel to each other and line ‘R’ is the transverse of line ‘P’ and ‘Q’. Here angle b and angle h are forming the pair of alternate interior angles.
Similarly, angle c and angle e are forming the pair of alternate interior angles.

Note: Students may miss-understand the term alternate interior angle and they may think that angle a and angle h are alternate interior angles but they are not alternate interior angles but actually they are corresponding angles, thus it is recommended to go through the basic definition of all the types of angle.