Verified Answer :

kaevras

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

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°

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