Answer:
x=33
y=134
z=46
Step-by-step explanation:
Lets solve for Z first. It is in a triangle with 2 angles already known: 84 and 50. Because the 3 angles in all triangles add to 180...
z+50+84=180
z=180-50-84
z=46
Angles z and y are supplementary, because they exist on the same line and are cut off by one line segment. This means that their angles add to 180.
180=y+z
we already know that z=46
180=y+46
y=180-46
y=134
Now we can use the same rule we used to find z, to find x.
x+y+13=180
we just found that y=134
x+134+13=180
x=180-134-13
x=33
