Question

In the diagram below Bd is parallel to XY . what is the value of x

Answer 1

B. 60    Alternate angles are equal

Answer 2

Answer:  The correct option is (B) 60.

Step-by-step explanation:  Given that the line BD is parallel ti the line XY.

We are to find the value of x.

We know that

if two parallel lines are cut by a transversal, then the measures of the alternate interior angles are equal.

In the given figure, BD is parallel to XY and they are cut by a transversal.

So, the angles with measures x° and 60° are alternate interior angles.

Therefore, we must have

$x^\circ=60^\circ\\\\\Rightarrow x=60.$

Thus, the value of x is 60.

Option (B) is CORRECT.