In the diagram below , de is parallel to xy. what is the value of x?

This is about angle theorems because angle theorems are theorems that help us to know the relationship between angles.

Option A: x = 105°

We see that a transverse line cuts across two parallel lines DE and XY. Now, from transversal theorem of angles in Maths, we know that If a transverse line cuts across two parallel lines, then the alternate interior angles that are formed are congruent and therefore equal to each other. In this question, we see one of the angles as 105°. Therefore, x° will be congruent to it and thus; x = 105°

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