Question

Two parallel lines are crossed by a transversal.

What is the value of y?

y = 30
y = 50
y = 110
y = 130

Answer 1

answer: y = 50 degrees

Answer 2

Answer: y= 50

Explanation:

The angles that are formed inside the two lines and on opposite sides of the transversal are known as alternate interior angles.

Consider the given figure , we can see that line b and line c are intersected by a transversal so by the definition of alternate interior angles,

The alternate interior angles formed =
`y^(\circ)` and
`50^(\circ)`

Since we are given that two parallel lines are crossed by a transversal.

Then the alternative interior angles must be congruent.

`\Rightarrow\ y^(\circ)=50^(\circ)`

Hence, the value of y= 50