Question

In the diagram below, BD is parallel to XY. What is the value of x?

Answer 1

Remark
This is a fundamental property of parallel lines that have a transversal crossing both of them. 

The angles are called corresponding angles and are equal. You should google the angles associated with parallel lines crossed by a transversal. 

The answer is C  <<<<<  Answer.

Answer 2

If two lines are crossed by another line that is called the transversal, the corresponding angles those in matching corners. In this problem, we have two parallel lines:

$\overleftrightarrow{XY} \\ \\ \overleftrightarrow{BD}$

In this way, x° and 76° are corresponding, therefore:

(x)° = 76°

∴ x = 76