Question

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

Explanation:

Step1: Identify vertical angles

The angles \(16y^\circ\) and \((18y - 18)^\circ\) are vertical angles, so they are equal.
\[16y = 18y - 18\]

Step2: Solve for \(y\)

Subtract \(16y\) from both sides:
\[0 = 2y - 18\]
Add 18 to both sides:
\[18 = 2y\]
Divide both sides by 2:
\[y = \frac{18}{2} = 9\]

Answer:

\(y = 9\)