In the diagram below de is parallel to xy what is the value of y?

Answer:
C. 75.
Step-by-step explanation:
We have been given a diagram of two parallel lines and we are asked to find the value of y.
We can see from our given diagram that angle y and the angle that measures 105 degrees is formed inside the parallel lines and on the same side of transversal.
Since the the angles formed on the same side of transversal and inside parallel lines are called consecutive interior angles and they add up-to 180 degrees, so we can set an equation as:
[tex]y^o+105^o=180^o[/tex]
[tex]y^o+105^o-105^o=180^o-105^o[/tex]
[tex]y^o=75^o[/tex]
Therefore, the value of y is 75 degrees and option C is the correct choice.