Question

question 6
(4x + 2)°
(7x - 25)°
solve for x
9
4

Explanation:

Step1: Set the two angle - expressions equal

Since the two angles are vertical angles and vertical angles are equal, we set up the equation $4x + 2=7x - 25$.

Step2: Move the x - terms to one side

Subtract $4x$ from both sides: $4x+2-4x=7x - 25-4x$, which simplifies to $2 = 3x-25$.

Step3: Move the constant to the other side

Add 25 to both sides: $2 + 25=3x-25 + 25$, resulting in $27 = 3x$.

Step4: Solve for x

Divide both sides by 3: $\frac{27}{3}=\frac{3x}{3}$, so $x = 9$.

Answer:

9