Question

solve for x: vertical angles 2x + 48 5x + 9

Explanation:

Step1: Apply vertical - angles property

Vertical angles are equal. So, $2x + 48=5x + 9$.

Step2: Isolate x - terms on one side

Subtract $2x$ from both sides: $48 = 5x-2x + 9$, which simplifies to $48=3x + 9$.

Step3: Isolate the constant term on one side

Subtract 9 from both sides: $48 - 9=3x$, so $39 = 3x$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{39}{3}=13$.

Answer:

$x = 13$