Question

In the diagram, d || e and line f is a transversal.

Set up an equation to find y.
Solve for y.

Answer 1

The equation to find y would be 12y=72.

y is 6.

Since we know that the top and bottom line are parallel, and that the line going up and down is a transversal, we can assume that 72 and 12y equals the same number. (Visual representation shown in photo below.)

So the equation would be, 12y=72.

To find y, solve the equation.

First rearrange.

12y=72 --> 72/12 = y

Now, simplify.

72/12 = y

6 = y

And there you have it!

y is 6.

Hope this helps!

Let me know if you need anything else. :)