Question

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

Explanation:

Step1: Use rhombus opposite angles property

Opposite angles of a rhombus are equal. So $y = 61^\circ$.

Step2: Use consecutive angles supplementary rule

Consecutive angles in a rhombus sum to $180^\circ$. For $x$:
$x = 180^\circ - 61^\circ = 119^\circ$

Step3: Use opposite angles property again

Opposite angles are equal, so $z = x = 119^\circ$.

Answer:

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