Question

20 POINTS!!

two lines are cut by a transversal such that a pair of alternate interior angles are right angles. are the two lines parallel? explain

​PLEASE ANSWER ​

Answer 1

Explanation:

You are given a pair of alternate interior angles which are both right angles and are formed by a transversal line cutting two lines. That means the pair of angles are congruent.

Use the Alternate Interior Angles Theorem and by that those two lines must be parallel.

Answer 2

When two parallel lines are cut by a transversal, the alternate interior angles are always equal. This is a property that is only true for parallel lines.

When non-parallel lines are cut by another line, the alternate interior angles are not equal.