Respuesta :

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
[tex]3y+4+59=180[/tex] These two angles form a straight angle (Line)
[tex]3y+63=180[/tex]
[tex]3y+63-63=180-63[/tex]
[tex]3y=117[/tex]
[tex] \frac{3y}{3} = \frac{117}{3} [/tex]
[tex]y=39[/tex]
3y+4=3(39)+4=121°

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