To find the values of x, y, and z in the parallelogram, we can use the properties of opposite angles in a parallelogram.
1. In a parallelogram, opposite angles are congruent. Therefore, we can set up the following equations:
-y - 10 = 75° (Opposite angles in the parallelogram)
-4x - 1 = 75° (Opposite angles in the parallelogram)
4z - 3 = 75° (Opposite angles in the parallelogram)
2. Solve each equation for the unknown variable:
-y - 10 = 75
-y = 75 + 10
-y = 85
y = -85
-4x - 1 = 75
-4x = 75 + 1
-4x = 76
x = -19
4z - 3 = 75
4z = 75 + 3
4z = 78
z = 19.5
Therefore, the values of x, y, and z in the parallelogram are:
x = -19
y = -85
z = 19.5
I hope this helps! Let me know if you have any further questions.