Question

what is the value of x? (4x - 25)° (2x - 1)° a. 11 b. 12 c. 23 d. 46

Explanation:

Step1: Identify vertical - angle property

Vertical angles are equal. So, $4x - 25=2x - 1$.

Step2: Isolate x - terms

Subtract $2x$ from both sides: $4x-2x - 25=2x-2x - 1$, which simplifies to $2x-25=-1$.

Step3: Isolate the constant term

Add 25 to both sides: $2x-25 + 25=-1 + 25$, resulting in $2x=24$.

Step4: Solve for x

Divide both sides by 2: $\frac{2x}{2}=\frac{24}{2}$, so $x = 12$.

Answer:

B. 12