QUESTION IMAGE
Question
student belcher, cash
properties of parallelograms
solve for the unknown variable (x).
answer: round to whatever you see in the problem.
ok
Step1: Use property of parallelogram
In a parallelogram, consecutive angles are supplementary. So, \(\angle W+\angle X = 180^{\circ}\).
Step2: Set up equation
We know \(\angle W = 72^{\circ}\) and \(\angle X=(37x - 3)^{\circ}\). Then \(72+(37x - 3)=180\).
Step3: Simplify equation
First, simplify the left - hand side: \(37x+69 = 180\).
Step4: Solve for \(x\)
Subtract \(69\) from both sides: \(37x=180 - 69\), so \(37x = 111\). Then \(x=\frac{111}{37}=3\).
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