Question

prove that the alternate angles formed by a transversal of 2 parallel lines are of equal measures​

Answer 1

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary. We know that if a transversal intersects two lines such that the pair of alternate interior angles are equal, then the lines are parallel. Hence, AB║CD Proved.

Answer 2

Answer:

click on the picture

Step-by-step explanation:

But these are alternate interior angles. We know that if a transversal intersects two lines such that the pair of alternate interior angles are equal, then the lines are parallel.

Hence, AB║CD Proved.