Question

find the measure of the three missing angles in the rhombus below. answer attempt 1 out of 6 ( x = ) ( y = ) ( z = )

Explanation:

Step1: Use the property of rhombus (opposite angles are equal)

In a rhombus, opposite angles are equal. So \(x = 95^{\circ}\)

Step2: Use the property of adjacent angles in rhombus (supplementary)

Adjacent angles in a rhombus are supplementary (\(a + b=180^{\circ}\)). Since one angle is \(95^{\circ}\), then \(y=z = 180 - 95\)

$$y=z=85^{\circ}$$

Answer:

\(x = 95\), \(y = 85\), \(z = 85\)