Question

find x. x = 40 x = 10 x = 20 x = 15 (3x + 32)° (5x - 8)°

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles and vertical angles are equal, we set up the equation $3x + 32=5x - 8$.

Step2: Move x - terms to one side

Subtract $3x$ from both sides: $3x+32 - 3x=5x - 8-3x$, which simplifies to $32 = 2x-8$.

Step3: Isolate the term with x

Add 8 to both sides: $32 + 8=2x-8 + 8$, getting $40 = 2x$.

Step4: Solve for x

Divide both sides by 2: $\frac{40}{2}=\frac{2x}{2}$, so $x = 20$.

Answer:

$x = 20$