In the adjoining figure, identify:
(i) The pairs of corresponding angles:
(ii) The pairs of alternate interior angles.
(iii) The pairs of interior angles on the same side of the transversal.
(iv) The vertically opposite angles.
(i) From the given figure, we have
Pairs of corresponding angles are as follows:
∠1 and ∠5
∠2 and ∠6
∠3 and ∠7
∠4 and ∠8
(ii) From the given figure, we have
Pairs of alternate interior angles are as follows:
∠2 and ∠8
∠3 and ∠5
(iii) From the given figure, we have
Pairs of alternate interior angles on the same side of the transversal are as follows:
∠2 and ∠5
∠3 and ∠8
(iv) From the given figure, we have
Pairs of vertically opposite angles are as follows:
∠1 and ∠3
∠2 and ∠4
∠5 and ∠7
∠6 and ∠8