Supplementary angles add up to 180 degrees, meaning that we can do 180-(55+29) to get angle x, which is 96 degrees.
By the Same-Side Interior Angles theorem, we can also see that z+29 is equal to 180. This means that angle z is equal to 180-29=151 degrees.
To solve for y, we can use the alternate interior angles theorem to set y-13 to 55. Solving for y, we get y equals 68.
Check: 96+29+55=180. The triangle is valid, therefore the angles are valid.
x=96
y=68
z=151
:)
