The value of angle y is equal to 60°
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
According to the question
AB is parallel to CD
and the line intersect AB and CD is transversal line
Therefore ,
∠y , 60° are Alternate Interior Angles .
Now ,
According to the Alternate Interior Angles Theorem
When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
Therefore,
y = 60°
Hence. The value of angle y is equal to 60° .
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