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Properties of Angles Formed by Two Parallel Lines and a Transversal

Each pair of ...

Question

Each pair of interior angles formed by two parallel lines and their transversal is _______.

A

complementary

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B

equal

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C

supplementary

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D

90^{\circ}

each

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Solution

The correct option is C supplementary
Each pair of interior angles formed by two parallel lines and their transversal is equal to $180^{\circ}$ . Hence, they are supplementary in nature.

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Similar questions

Each pair of interior angles formed by two parallel lines and their traversals are ............... angles. ?

Q. A transversal intersects two parallel lines, the sum of each pair of co-interior angles is ____.

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

Q. 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 away that a pair of alternate angles are equal, then the lines are ...
(vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180°, then the lines are ...

Write converses of the following statements.

(i) The alternate angles formed by two parallel lines and their transversal are congruent.

(ii) If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.

(iii) The diagonals of a rectangle are congruent.

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