Question

In the adjoining figure, identify: 

1.  the pairs of corresponding angles. 
2.  the pairs of alternate interior angles. 
3.  the pairs of interior angles on the same side of the transversal. 
4.  the vertically opposite angles.

Answer 1

(i) The pairs of corresponding angles:
\(∠1, ∠5; ∠2, ∠6; ∠4, ∠8\) and \(∠3, ∠7\)

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(ii) The pairs of alternate interior angles are:
\(∠3, ∠5 \) and \(∠2, ∠8\)

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(iii) The pair of interior angles on the same side of the transversal:
\(∠3, ∠8\) and \(∠2,∠ 5\)

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(iv) The vertically opposite angles are:
\(∠1, ∠3; ∠2, ∠4; ∠6,∠ 8 \) and \(∠5, ∠7\)

Read more: Pairs of Angles