Question

no additional details were added for this assignment. answer attempt 1 out of 4 $x = square$ $y = square$ $z = square$

Explanation:

Step1: Recall property of a rhombus

In a rhombus, opposite angles are equal and the sum of interior angles is 360°.

Step2: Find the value of $x$

Since opposite angles of a rhombus are equal, $x = 108$.

Step3: Find the sum of $y$ and $z$

The sum of all interior - angles of a quadrilateral is 360°. Let the sum of $y$ and $z$ be $S$. We know two angles are 108° each. So $S=360-(108 + 108)=144$.

Step4: Find the value of $y$ and $z$

In a rhombus, adjacent angles are supplementary and also $y = z$ (because of symmetry in a rhombus). So $y=z=\frac{144}{2}=72$.

Answer:

$x = 108$, $y = 72$, $z = 72$