Answer :

Answer:

1) The corresponding angles are equal.(∠1 = ∠5), (∠2 = ∠6), (∠3 = ∠7), (∠4 = ∠8)

2) Alternative interior angles are equal. (∠3 = ∠5, and ∠4 = ∠6)

3) The vertical opposite angles are equal. (∠1 = ∠3), (∠2 = ∠4), (∠5 = ∠7), (∠6 = ∠8)

4) Alternative exterior angles are equal. (∠1 = ∠7), (∠2 = ∠8)

5) The pair of interior angle on the same side add upto 180 degrees.

Step-by-step explanation:

When parallel lines are cut by a transversal, we get 8 angles as shown in the figure.

It holds true the following relationship.

1) The corresponding angles are equal.(∠1 = ∠5), (∠2 = ∠6), (∠3 = ∠7), (∠4 = ∠8)

2) Alternative interior angles are equal. (∠3 = ∠5, and ∠4 = ∠6)

3) The vertical opposite angles are equal. (∠1 = ∠3), (∠2 = ∠4), (∠5 = ∠7), (∠6 = ∠8)

4) Alternative exterior angles are equal. (∠1 = ∠7), (∠2 = ∠8)

5) The pair of interior angle on the same side add upto 180 degrees.

Thanks for taking the time to read Describe the angle relationships formed when parallel lines are cut by a transversal. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles