The calculated values of x and y are x = 67 and y = 124
How to determine the values of x and y
From the question, we have the following parameters that can be used in our computation:
The triangle
The sum of angles in a quadrilateral is 360
So, we have
x + 68 + 180 - 50 + 180 - 85 = 360
This gives
x + 293 = 360
So, we have
x = 360 - 293
x = 67
Next, we have
180 - 85 + 85 + 50 + 74 + 180 - y = 360
This gives
484 - y = 360
So, we have
y = 124
Hence, the values of x and y are x = 67 and y = 124