Question

find the value of x. (5x + 4)° (8x - 71)°

Explanation:

Step1: Set the two angles equal

Since vertical - angles are equal, we set up the equation $5x + 4=8x - 71$.

Step2: Move the x - terms to one side

Subtract $5x$ from both sides: $4 = 8x-5x - 71$, which simplifies to $4 = 3x - 71$.

Step3: Move the constant to the other side

Add 71 to both sides: $4 + 71=3x$, so $75 = 3x$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{75}{3}=25$.

Answer:

$25$