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Answer :
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
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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.
