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find the value of each variable. (18y - 18)° 16y° y =

Question

find the value of each variable. (18y - 18)° 16y° y =

Explanation:

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 \(y = 9\).

Answer:

\(y = 9\)