Find the values of x and y. (image below)

Opposite angles have the same measures. This allows you to set and solve the following equations:

To solve both equations, let's move all the terms involving the variables on the left hand side, and all constant terms on the right hand side:

Sum like terms:

Divide the first equation by 2 and the second by -4:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .