Question

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

Explanation:

Step1: Use the property of opposite angles in a rhombus

In a rhombus, opposite angles are equal. So, $x = 65$.

Step2: Use the property of adjacent angles in a rhombus

Adjacent angles in a rhombus are supplementary (sum to $180^{\circ}$). Let's find $y$.
Since one angle is $65^{\circ}$, then $y=180 - 65=115$.

Step3: Use the property of opposite angles again

Since $z$ is opposite to $y$, so $z = y = 115$.

Answer:

$x = 65$, $y = 115$, $z = 115$