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 $^{\circ}$ , then the lines are__.

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Solution

Parallel ; Because the sum of interior angles on the same side are supplementary.

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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. If a transversal intersects parallel lines, then the sum of interior angles which lie on the same side of the transversal is

If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are_______.

Q. A transversal intersects two given lines in such a way that the interior angles on the same side of the transversal are equal. Is it always true that the given lines are parallel? If not, state the condition(s) under which the two lines will be parallel.

Q. If a transversal intersects two lines such that a pair of alternate interior angles is equal , then the two lines are parallel.

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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∘, then the lines are__.

Parallel ; Because the sum of interior angles on the same side are supplementary.

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 $^{\circ}$ , then the lines are__.