Question

I need to find x and y and also find the measure of angle x and angle y and find the measure of angle (3y+4)

Answer 1

We can find angle STN through sum of angles in a triangle.
180 - 90 - 32 = 59 degrees.

Therefore, x is 59 degrees because they are alternate angles, indicated by the Z shape.

We can work out angle MNT by sum of angles in a line.
180 - 59 = 121 degrees.

3y + 4 = 121
3y = 117
y = 39

Answer 2

m∠x=90°-31°=59°  It is a vertical angle to the angle inside the smaller Δ
$3y+4+59=180$ These two angles form a straight angle (Line)
$3y+63=180$
$3y+63-63=180-63$
$3y=117$
$\frac{3y}{3} = \frac{117}{3}$
$y=39$
3y+4=3(39)+4=121°