If two parallel lines are cut by a transversal then each pair of corresponding angles are ______.

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Solution

Pairs of corresponding angles are always equal when a transversal cuts two parallel lines.
Therefore, $(∠ 1, ∠ 5), (∠ 2, ∠ 6), (∠ 3, ∠ 7) a n d (∠ 4, ∠ 8)$ are pairs of corresponding angles and are equal.

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(i) If two parallel lines are intersected by a transversal then each pair of corresponding angles are ___
(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ___
(iii) Two lines perpendicular to the same line are ___ to each other.
(iv) Two lines parallel to the same line are to ___ each other.

(v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are ___
(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $180^{0}$ , then the lines are ___

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If two parallel lines are cut by a transversal then each pair of corresponding angles are ______.

Pairs of corresponding angles are always equal when a transversal cuts two parallel lines.Therefore, (∠1,∠5),(∠2,∠6),(∠3,∠7)and(∠4,∠8) are pairs of corresponding angles and are equal.

Pairs of corresponding angles are always equal when a transversal cuts two parallel lines.
Therefore, $(∠ 1, ∠ 5), (∠ 2, ∠ 6), (∠ 3, ∠ 7) a n d (∠ 4, ∠ 8)$ are pairs of corresponding angles and are equal.