Answer:
At least 4 ways
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
