Question

find the measure of the three missing angles in the parallelogram below.

(parallelogram image with angles labeled x°, 122°, y°, z°)

answer attempt 1 out of 2
x =

y =

z =

Explanation:

Step1: Opposite angles are equal

$y = 122^\circ$

Step2: Adjacent angles sum to 180°

$x = 180^\circ - 122^\circ = 58^\circ$

Step3: Opposite angles are equal

$z = x = 58^\circ$

Answer:

$x = 58$, $y = 122$, $z = 58$