Question

solve for x.
(5x - 32)°
(3x - 4)°
x =

Explanation:

Step1: Set up equation

Since vertical - angles are equal, we set \(5x - 32=3x - 4\).

Step2: Isolate x - terms

Subtract \(3x\) from both sides: \(5x-3x - 32=3x-3x - 4\), which simplifies to \(2x-32=-4\).

Step3: Isolate the constant

Add 32 to both sides: \(2x-32 + 32=-4 + 32\), getting \(2x = 28\).

Step4: Solve for x

Divide both sides by 2: \(\frac{2x}{2}=\frac{28}{2}\), so \(x = 14\).

Answer:

14