Question

find the value of x.

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles and vertical angles are equal, we have $-2x + 25=3x + 10$.

Step2: Isolate x - terms

Add $2x$ to both sides: $25 = 3x+2x + 10$, which simplifies to $25=5x + 10$.

Step3: Isolate the constant - term

Subtract 10 from both sides: $25 - 10=5x$, so $15 = 5x$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{15}{5}=3$.

Answer:

$x = 3$