If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is
a. 1
b. 2
c. 3
d. 4

Solution:

Given, the two lines are intersected by a transversal.

We have to find the number of pairs of interior angles on the same side of the transversal.

Consider two parallel lines m and l intersected by a transversal n.

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

From the figure,

The consecutive interior angles are

∠3 and ∠6

∠4 and ∠5

Number of pair of interior angles = 2

Therefore, the number of pairs of interior angles on the same side of the transversal is 2.

✦ Try This: There are _____ pairs of corresponding angles

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Sample Problem 4

If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is: a. 1, b. 2, c. 3, d. 4

Summary:

If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is 2

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