Question

find the value of x, y, and z in the parallelogram below. (-4y + 5)° (-3z - 4)° (8x - 1)° 85°

Explanation:

Step1: Use the property of opposite angles in a parallelogram

In a parallelogram, opposite angles are equal.
So, \(8x - 1=85\)

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Step2: Use the property of consecutive angles in a parallelogram

Consecutive angles in a parallelogram are supplementary (\(a + b=180^{\circ}\)).
Let's take \(85^{\circ}\) and \((- 3z - 4)^{\circ}\)

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Also, take \(85^{\circ}\) and \((-4y + 5)^{\circ}\)

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Answer:

\(x = 10.75\), \(y=-22.5\), \(z =-33\)