Question

question
find the measure of the three missing angles in the parallelogram below.
answer attempt 1 out of 2
$x=\square$ $y=\square$ $z=\square$

Explanation:

Step1: Use the property of opposite angles in a parallelogram

In a parallelogram, opposite angles are equal. So $z = 61^{\circ}$ (since it is opposite to the $61^{\circ}$ angle).

Step2: Use the property of adjacent angles in a parallelogram

Adjacent angles in a parallelogram are supplementary (sum to $180^{\circ}$).
For angle $x$: $x+61^{\circ}=180^{\circ}$, so $x = 180 - 61=119^{\circ}$.

Step3: Use the property of opposite angles again

Since $y$ is opposite to $x$, $y=x = 119^{\circ}$.

Answer:

$x = 119$, $y = 119$, $z = 61$