Lines
ab and
cd
are straight lines. find x and y. give reasons to justify your solutions.

x = 18.5° , y = 37°

Step-by-step explanation:

In the picture, i hope that it's a clear solution.

Step-by-step explanation:

We know by given that

Lines AB and CD are straight lines. This means all angles formed on these lines must sum 180°.

So, by defintion of straight line and suplementary angles.

Let's solve for

Then, by vertical angles defintion.

Now, ,  by defintion of straight line and suplementary angles.

Let's solve for

Therefore, the solutions are and