Question

find the measure of the three missing angles in the rhombus below.
answer attempt 1 out of 2
$x = square$ $y = square$ $z = 69$

Explanation:

Step1: Properties of a rhombus

In a rhombus, opposite angles are equal. So \(y = 69^{\circ}\) (since \(y\) is opposite to the \(69^{\circ}\) angle).

Step2: Sum of adjacent angles in a rhombus

Adjacent angles in a rhombus (which is a parallelogram) are supplementary. That is, they add up to \(180^{\circ}\).
If one angle is \(69^{\circ}\), then \(x=180 - 69\)
\(x = 111^{\circ}\)

Answer:

\(x = 111\), \(y = 69\), \(z = 69\)