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Question

# 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 1800, then the lines are ___

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Solution

## (i) If two parallel lines are intersected by a transversal then each pair of corresponding angles are equal. (ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are supplementary. (iii) Two lines perpendicular to the same line are parallel to each other. (iv) Two lines parallel to the same line are parallel to each other. (v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles is equal, then the lines are parallel. (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 1800, then the lines are parallel.

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