Question

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.

Answer 1

(i) There are 4 pairs of corresponding angles,

(a) ∠1 and ∠5

(b) ∠2 and ∠6

(c) ∠4 and ∠8

(d) ∠3 and ∠7

(ii) There are 2 pairs of alternate interior angles.

They are

a) ∠3 and ∠5

b) ∠2 and ∠8

(iii) There are 2 pairs interior angles on the same side of the transversal, they are

(a) ∠3 and ∠8

(b) ∠2 and ∠5

(iv) There are 4 pairs of vertically opposite angles.

They are

(a) ∠1 and ∠3

(b) ∠2 and ∠4

(c) ∠5 and ∠7

(d) ∠6 and ∠8.