When two parallel lines are cut by a transversal the angle pairs formed
are either Congruent Or Supplementary ⇒ 1st answer
Step-by-step explanation:
When two parallel lines are cut by a transversal the angle pairs
formed are:
1. Linear pair angles, they supplementary
2. The vertical pair angles, they are congruent
3. The alternate pair angles, they are congruent
4. The corresponding pair angles, they are congruent
5. The interior pair angles, they are supplementary
∴ The angle pairs are either congruent or supplementary
For more understand look to the attached figure
1. Linear pair angles are:
(∠1 and ∠2) , (∠2 and ∠4) , (∠3 and ∠4) , (∠1 , ∠3) ,
(∠5 and ∠6) , (∠6 and ∠8) , (∠7 and ∠8) , (∠5 , ∠7)
Each pair of angles supplementary
2. Vertical pair angles are:
(∠1 and ∠4) , (∠2 and ∠3) , (∠5 and ∠8) , (∠6 , ∠7)
Each pair of angles congruent
3. Alternate pair angles are:
(∠1 and ∠8) , (∠2 and ∠7)
Each pair of angles congruent
4. Corresponding pair angles are:
(∠1 and ∠5) , (∠2 and ∠6) , (∠3 and ∠7) , (∠4 and ∠8)
Each pair of angles congruent
5. Interior pair angles are:
(∠1 and ∠7) , (∠2 and ∠8)
Each pair of angles supplementary
When two parallel lines are cut by a transversal the angle pairs
formed are either Congruent Or Supplementary
Learn more:
You can learn more about parallel lines in brainly.com/question/10483199
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