Fill in the blank in each of the following to make the statement true:

v. If a transversal intersects a pair of lines in such a way that a pair of alternate interior angles are equal, then the lines are

Open in App

Solution

If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are parallel.

Here, $(∠ 3, ∠ 5); (∠ 4, ∠ 6)$ are alternate interior angles
$∴ ∠ 3 = ∠ 5, ∠ 4 = ∠ 6 only if A B | | C D$

Suggest Corrections

Similar questions

Fill in the blanks in each of the following to make the statement true:
(i) If two parallel lines are intersected by a transversal then each pair of corresponding angles are ___
(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ___
(iii) Two lines perpendicular to the same line are ___ to each other.
(iv) Two lines parallel to the same line are to ___ each other.

(v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are ___
(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $180^{0}$ , then the lines are ___

Q. Fill in the blank in each of the following to make the statement true:

iv. If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is

180^{\circ}

, then the lines are

If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are_______.

If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is 180 $^{\circ}$ , then the lines are__.

Join BYJU'S Learning Program

Explore more

Checking If Two or More Lines Are Parallel

Standard VII Mathematics

Join BYJU'S Learning Program

Fill in the blank in each of the following to make the statement true:​ v. If a transversal intersects a pair of lines in such a way that a pair of alternate interior angles are equal, then the lines are

If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are parallel. Here, (∠3,∠5);(∠4,∠6) are alternate interior angles ∴∠3=∠5,∠4=∠6 only if AB||CD

Fill in the blank in each of the following to make the statement true:

v. If a transversal intersects a pair of lines in such a way that a pair of alternate interior angles are equal, then the lines are

If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are parallel.

Here, $(∠ 3, ∠ 5); (∠ 4, ∠ 6)$ are alternate interior angles
$∴ ∠ 3 = ∠ 5, ∠ 4 = ∠ 6 only if A B | | C D$