Question

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

Answer 1

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:

$y^o+105^o=180^o$

$y^o+105^o-105^o=180^o-105^o$

$y^o=75^o$

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

Answer 2

Yeah it's quite easy. Since the lines DE and XY are parallel and that line bisects them, you put the given information of the bisecting lines into this format-y thing: 105+y=180 because the bisecting line is 180 degrees.you do the math and y turns out to equal 75. Good?