Question

Which lines are parallel? Justify your answer. Lines p and q are parallel because same side interior angles are congruent. Lines p and q are parallel because alternate exterior angles are congruent Lines l and m are parallel because same side interior angles are supplementary Lines l and m are parallel because alternate interior angles are supplementary.

Answer 1

Answer:

B. Lines p and q are parallel because alternate exterior angles are congruent

Step-by-step explanation:

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Answer 2

Lines L and m and lines p and q are parallel.

Given

Lines p and q are parallel because same side interior angles are congruent. Lines p and q are parallel because alternate exterior angles are congruent Lines l and m are parallel because same side interior angles are supplementary Lines l and m are parallel because alternate interior angles are supplementary.

TO FIND

Which lines are parallel.

Solution

We can simply solve the above problem as follows;

• Two lines are parallel if the interior angles are supplementary.
• Since the interior angles or lines p and a are only congruent and no information about their sum is not given therefore, option (A) is incorrect.

• Lines p and q are parallel because the exterior angles are congruent.

• Option c is also correct since it is given that same side interior angles are supplementary.

Hence, Lines L and m and lines p and q are parallel.

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