Match the following reasons with the given statements of proof

Given :  

Or we can say that A ray ST is perpendicular to Ray SR.

By the definition of Perpendicular lines: A  perpendicular lines are lines that intersect at a right angle.

⇒ is right angle.

Then, by the definition of the right angle states that the angle bounded by the  two perpendicular lines i.e, an angle of .

⇒

Addition Angle theorems states that the sum of measure of two angle of an interior angle.

then, by the definition of the addition angle theorem we have ;

        ......[1]

Now, by substituting the value of in above equation[1];

               ......[2]

Subtraction property of Equality states that subtract the same number from both sides of an equation.

Now, subtract from both sides of an equation [2];

On simplify we get,

                   Hence proved!

The figure as you can see in the attachment.

4x and 6y

im not sure though