Question

Two Parallel lines are crossed by a transversal what is the value of y

Answer 1

Answer :- y=50°

Explanation :-

Given : Two Parallel lines b↔ and e↔ are crossed by a transversal line a↔.

As y and 50° are alternate interior angles therefore by alternate interior angles theorem they must be congruent.

Thus y=50°

• Alternate interior angles produced when a transversal line passes through two parallel lines.
• The angles that are produced on opposite sides of a transversal line and inside the two parallel lines are said to be alternate interior angles.
• The alternate interior angles theorem tells that when the lines are parallel, then the alternate interior angles made by a transversal  must be equal.

Answer 2

Y and 50 are alternate interior angles. 

They are equal in length. 

y=50 

I hope this helps!
~kaikers