Question

find the value of ( x ), ( y ), and ( z ) in the rhombus below.
answer attempt 1 out of 2
( x=)( y=)( z=)

Explanation:

Step1: Use the property of adjacent angles in a rhombus (supplementary)

In a rhombus, adjacent angles are supplementary. So, \((-3x + 6)+72=180\)

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Step2: Use the property of opposite angles in a rhombus (equal)

Opposite angles in a rhombus are equal. So, \(-y + 4=72\)

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Step3: Use the property of adjacent angles (supplementary)

\((-z - 10)+72=180\)

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Answer:

\(x=-34\), \(y = - 68\), \(z=-118\)