Question

look at the diagram. which equation can be used to solve for x? 13x + 50 = 90, 12x + 51 = 180, 13x + 50 = 180, 13x - 1 = 51 solve for x. x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle with measure $(13x - 1)^{\circ}$ and the angle with measure $51^{\circ}$ are vertical angles. So we can set up the equation $13x-1 = 51$.

Step2: Solve the equation for x

Add 1 to both sides of the equation: $13x-1 + 1=51 + 1$, which simplifies to $13x=52$. Then divide both sides by 13: $x=\frac{52}{13}=4$.

Answer:

The equation that can be used to solve for x is $13x - 1=51$ and $x = 4$.