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Corresponding angles have
- Different vertices
- Are on same side of transversal
- Have corresponding positions i.e. both upper left or lower left or upper right or lower right
So, corresponding angles are
- ∠ 1 and ∠ 5
- ∠ 2 and ∠ 6
- ∠ 3 and ∠ 7
- ∠ 4 and ∠ 8
For parallel lines,
corresponding angles are equal
Therefore,
∠1 = ∠5 ∠2 = ∠6
∠3 = ∠7 ∠4 = ∠8
To summarise,
| Type | Angles |
| Interior angles | ∠3, ∠4, ∠5, ∠6 |
| Exterior angles | ∠1, ∠2, ∠7, ∠8 |
| Pairs of Corresponding angles |
∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8 |
| Pairs of Alternate interior angles | ∠3 and ∠6, ∠4 and ∠5 |
| Pairs of Alternate exterior angles | ∠1 and ∠8, ∠2 and ∠7 |
| Pairs of interior angles on the same side of the transversal | ∠3 and ∠5, ∠4 and ∠6 |
