Question

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

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle $(13x - 1)^{\circ}$ and the $51^{\circ}$ angle are vertical angles. So, we 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 $13x=52$.

Step3: Isolate x

Divide both sides of the equation $13x = 52$ by 13: $x=\frac{52}{13}=4$.

Answer:

The equation to solve for x is $13x - 1 = 51$ and $x = 4$