Answer: x = 38, y = 81, z = 75
Step-by-step explanation:
First, because it's a quadrilateral, we know that (z - 3) + 108 + (y - 9) + (3x - 6) = 360.
Then, we also know that (3x - 6) = 108, because in a parallelogram the two opposite angles are congruent. So, we know that x = 38.
Next, we also know that (z - 3) = (y - 9), because (again) the opposite angles are congruent. But since there are 2 variables and 1 equation, we cannot solve it yet.
But, we also know that (y - 9) + (3x - 6) = 180, because the same side angles are supplementary. We already know that (3x - 6) = 108, so (y - 9) = 180 - 108 = 72. y = 81.
Then, we can also figure out (z - 3) because it's the same as (y - 9), so (z - 3) = 72. z = 75.
So, x = 38 degrees, y = 81 degrees, and z = 75 degrees.
<em>P.S. If this is wrong, please tell me! I'll try my best to fix it. </em>
