Answer: x = 34º, y = 146º, z = 146º
Explanation:
Adding the angles inside a triangle gives you 180º. So
85 + 61 + x = 180
146 + x = 180
x = 34º
x and y are supplementary, so y = 180 - x = 180 - 34 = 146º.
y and z are equal (vertical angles), so z = 146º.