Question

If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.Write converse of the statement.

Answer 1

if two parallel lines are intersected by a transversal then the interior angles are supplementary.

Answer 2

Answer:

If the two lines are parallel then the pair of interior angles made by transversal  will be supplementary.

Step-by-step explanation:

The given statement is,

"If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel"

the given statement is a theorem from the topic of lines and angles which is used to show the relationship between the angles of parallel lines.

The converse of this statement is also true and the converse statement of the given statement is

"If the two lines are parallel then the pair of interior angles made by transversal will be supplementary".