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)

Steps please

Answer 1

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`

`(3y)/(3) = (117)/(3)`

`y=39`
3y+4=3(39)+4=121°

Answer 2

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