QUESTION IMAGE
Question
find the value of each variable. (18y - 18)° 16y° y =
Step1: Set the two - angle expressions equal
Since vertical angles are equal, we set \(18y - 18=16y\).
Step2: Subtract \(16y\) from both sides
\(18y-16y - 18=16y-16y\), which simplifies to \(2y-18 = 0\).
Step3: Add 18 to both sides
\(2y-18 + 18=0 + 18\), getting \(2y=18\).
Step4: Divide both sides by 2
\(\frac{2y}{2}=\frac{18}{2}\), so \(y = 9\).
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\(y = 9\)