Here, we have two congruent triangles
Since they are congruent, they have similar and equal angles.
From the diagram, we can see that;
6x - 29 = 115 (They are both topmost angles of both triangles)
Solving this, we have;
6x = 115 + 29
6x = 144
divide both sides by 6
x = 144/6
x = 24°
Furthermore, we can see that;
4z - 32 = 36
4z = 36 + 32
4z = 68
z = 68/4
z = 17°
And lastly;
(3y-1) + 115 + (4z-32) = 180 ( sum of angles in a triangle)
Since z = 17, 4z - 32 will be 4(17)-32 = 68 - 32 = 36
Thus;
3y - 1 + 115 + 36 = 180
3y + 150 = 180
3y = 180 -150
3y = 30
divide both sides by 3
y = 30/3
y = 10°
x = 24° , y = 10° and z = 17°