Question

e value of x.

Explanation:

Step1: Assume the angles are equal (vertical - angles property)

Set up the equation $5x + 2=3x + 22$.

Step2: Subtract $3x$ from both sides

$5x-3x + 2=3x-3x + 22$, which simplifies to $2x+2 = 22$.

Step3: Subtract 2 from both sides

$2x+2 - 2=22 - 2$, getting $2x=20$.

Step4: Divide both sides by 2

$\frac{2x}{2}=\frac{20}{2}$, so $x = 10$.

Answer:

$x = 10$