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Two parallel lines are crossed by a transversal.

What is the value of y?

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

Two parallel lines are crossed by a transversal. What is the value of y? y = 30 y-example-1

2 Answers

7 votes
answer: y = 50 degrees
User Matt Habel
by
6.7k points
2 votes

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

User Leszek
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6.6k points