Answer:
Based on the information provided that one corner of the parallelogram measures 128 degrees, we can determine the measures of the other three angles x, y, and z.
In a parallelogram, opposite angles are congruent, which means that x and z are congruent to 128 degrees.
So, x = z = 128 degrees.
The sum of the measures of the interior angles of a parallelogram is always 360 degrees. Since x and z both measure 128 degrees, the sum of x and z is 2 * 128 = 256 degrees.
Therefore, we can find the measure of y by subtracting the sum of x and z from 360 degrees:
360 degrees - 256 degrees = 104 degrees
So, y measures 104 degrees.
To summarize:
x = z = 128 degrees
y = 104 degrees