If a transversal intersects two parallel lines, then the alternate interior angles have one common ____________. Fill in the blanks to make the statement true

Solution:

Given, if a transversal intersects two parallel lines, then the alternate interior angles have one common ____________.

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

Consider two parallel lines l and m cut by a transversal n,

The alternate interior angles are

∠3 and ∠5

∠4 and ∠6

We observe that the alternate interior angles share a common arm.

Therefore, the alternate interior angles have one common arm.

✦ Try This: If a transversal intersects two parallel lines, each pair of alternate _______ angles is equal. 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 46

If a transversal intersects two parallel lines, then the alternate interior angles have one common ____________. Fill in the blanks to make the statement true

Summary:

If a transversal intersects two parallel lines, then the alternate interior angles have one common arm

☛ Related Questions:

• If a transversal intersects two parallel lines, then the corresponding angles are on the _______ sid . . . .
• If a transversal intersects two parallel lines, then the alternate interior angles are on the ______ . . . .
• Two lines in a plane which do not meet at a point anywhere are called ________ lines. Fill in the bl . . . .