If a transversal intersects two parallel lines, then the alternate interior angles are on the _______ side of the transversal. Fill in the blanks to make the statement true

Solution:

Given, If a transversal intersects two parallel lines, then the alternate interior angles are on the _____ side of the transversal.

We have to fill in the blanks to make the statement true.

Consider the two parallel lines l and m.

The parallel lines m and l are intersected by a transversal n.

When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.

The alternate interior angles are

∠3, ∠5

∠4, ∠6

We observe that these angles are opposite to each other.

Therefore, the alternate interior angles lie on the opposite side of the transversal.

✦ Try This: When two or more lines are cut by a transversal, the angles which occupy the same relative position are called ______ angles. Fill in the blanks to make the statement true

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 48

If a transversal intersects two parallel lines, then the alternate interior angles are on the _______ side of the transversal. Fill in the blanks to make the statement true

Summary:

If a transversal intersects two parallel lines, then the alternate interior angles are on the opposite side of the transversal

☛ Related Questions:

• Two lines in a plane which do not meet at a point anywhere are called ________ lines. Fill in the bl . . . .
• Two angles forming a __________ pair are supplementary. Fill in the blanks to make the statement tru . . . .
• The supplement of an acute is always __________ angle. Fill in the blanks to make the statement true