Question

In the diagram below BD is parallel to XY what is the value of Y

Answer 1

Answer:

short and sweet answer is 85

Step-by-step explanation:

Answer 2

Given:

BD is parallel to XY.

One of the angle is 85°

To find:

The value of y.

Solution:

Parallel lines BD and XY cut by a transversal line.

Angle y and 85° are alternate interior angles.

Alternate interior angle theorem:

If two parallel lines are cut by a transversal line, then the pairs of alternate interior angles are congruent.

⇒ y = 85°

The value of y is 85.