Question

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

Explanation:

Step1: Properties of rhombus

In a rhombus, opposite angles are equal. So \(y = 70^{\circ}\).

Step2: Adjacent angles in rhombus

Adjacent angles in a rhombus are supplementary (\(x + 70=180\)). Solving for \(x\), we get \(x = 180 - 70=110^{\circ}\).

Step3: Opposite angles property

Since \(z\) is opposite to \(x\), \(z = x = 110^{\circ}\).

Answer:

\(x = 110\), \(y = 70\), \(z = 110\)