Question

find the value of x, y, and z in the rhombus below.

Explanation:

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

In a rhombus, opposite angles are equal. So, \(5x + 7=72\)

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

Adjacent angles in a rhombus are supplementary (\(A + B=180^{\circ}\)). Let's consider \((-y - 1)+72 = 180\)

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Also, \((-z - 7)+72=180\)

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Answer:

\(x = 13\), \(y=-109\), \(z =-115\)