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

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:

Therefore, the value of y is 75 degrees and option C is the correct choice.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.