When a transversal intersects two parallel lines then each pair of the corresponding angle is __________

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Solution

Corresponding are equal in measure when a transversal intersects two parallel lines.

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Q. If a transversal intersects two parallel lines then each pair of consecutive interior angle is _________.

Fill in the blanks in each of the following to make the statement true:
(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 ___

Q. Question 3
A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.

Q. If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.

Q. If two parallel lines are intersected by a transversal, then each pair of corresponding angles are

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