Question

solve for x. 6x + 64 = 90. which equation can be used to solve for x? 2x = 68, 6x - 4 = 68, 6x - 72 = 180

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle $(6x - 4)^{\circ}$ and the $68^{\circ}$ angle are vertical angles. So, we set up the equation $6x-4 = 68$.

Step2: Solve the equation for x

Add 4 to both sides of the equation: $6x-4 + 4=68 + 4$, which simplifies to $6x=72$. Then divide both sides by 6: $\frac{6x}{6}=\frac{72}{6}$, so $x = 12$.

Answer:

The equation that can be used to solve for x is $6x - 4=68$, and $x = 12$.