Question

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

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. The angles \((13x - 1)^{\circ}\) and \(51^{\circ}\) are vertical angles. So the equation \(13x-1 = 51\) is used.

Step2: Solve the equation \(13x-1 = 51\)

Add \(1\) to both sides: \(13x-1 + 1=51 + 1\), which gives \(13x=52\).
Divide both sides by \(13\): \(x=\frac{52}{13}\).

Answer:

\(x = 4\)