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sam labels two vertical angles in his frame as $x$ and $(2x - 30)^{circ…

Question

sam labels two vertical angles in his frame as $x$ and $(2x - 30)^{circ}$. solve for $x$. $x=$

Explanation:

Step1: Set up the equation

Vertical angles are equal. So, \(x = 2x - 30\).

Step2: Solve the equation

Subtract \(2x\) from both sides: \(x-2x=2x - 30-2x\), which gives \(-x=-30\).
Multiply both sides by \(- 1\): \(x = 30\).

Answer:

\(x = 30\)