Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.
Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5
Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7
Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6
What are the Angles Formed by a Transversal and Parallel Lines?
The congruent angles that are formed are:
- Alternate interior angles
- Corresponding angles
- Alternate exterior angles
The supplementary angles formed are: Same-side interior/consecutive angles.
Therefore, the following are true of the angles shown in the diagram given:
- Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.
- Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5
- Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7
- Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6
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