Question

find the measure of the three missing angles in the parallelogram below. (image of a parallelogram with one angle 95° and other angles labeled x°, y°, z°)

Explanation:

Step1: Opposite angles equal

$y = 95^\circ$

Step2: Adjacent angles supplementary

$x + 95^\circ = 180^\circ \implies x = 85^\circ$

Step3: Opposite angles equal

$z = x = 85^\circ$

Answer:

$x = 85^\circ$, $y = 95^\circ$, $z = 85^\circ$