Question

look at the diagram. which equation can be used to solve for x? 5x + 30 = 180 5x + 60 = 180 5x + 60 = 90 5x + 30 = 90 solve for x. x =

Explanation:

Step1: Determine the sum of angles

The sum of angles around a point is 360°. Here, we focus on the non - reflex angles which form a straight - line (180°) relationship. The angles \(x^{\circ}\), \(4x^{\circ}\), and \(60^{\circ}\) are part of a set of angles that add up to 180° (since they are on one side of a straight - line formed by the rays). So the equation is \(x + 4x+60 = 180\), which simplifies to \(5x + 60 = 180\).

Step2: Solve the equation for \(x\)

First, subtract 60 from both sides of the equation \(5x + 60 = 180\). We get \(5x=180 - 60\), that is \(5x = 120\). Then divide both sides by 5, \(x=\frac{120}{5}=24\).

Answer:

The equation is \(5x + 60 = 180\), \(x = 24\)