Question

From the following figure , how many ways can you show that lines l and m are parallel

Answer 1

At least 4 ways

Step-by-step explanation:

To prove that the lines are parallel, we will use the measure of the angles. So:

they are parallel if:

The corresponding angles have the same measure

The alternate interior angles have the same measure

The alternate exterior angles have the same measure

The same-side interior angles are supplementary

The same-side exterior angles are supplementary

So, we can complete the measure of the angles in the figure to prove that the lines are parallel as:

Where for example, the yellow angles are corresponding, the green angles are alternate interior angles and the black angles are alternate exterior angles.

Therefore, the answer is at least 4 ways to prove that the lines are parallel