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