Question

Find the value of x, y, and z in the parallelogram below.
108°
(3x-6)°
(y-9)°
(z-3)°

Answer 1

In a parallelogram adjacent angles are supplementary and opposite angles are equal.

1) Adjacent: 108 + (3x − 6) = 180
3x − 6 = 72 → 3x = 78 → x = 26

2) Opposite to 108: y − 9 = 108 → y = 117

3) Opposite to (3x − 6): z − 3 = 3x − 6
With x = 26: z − 3 = 72 → z = 75

Answer: x = 26, y = 117, z = 75.