Question

look at the diagram. which equation can be used to solve for x? 5x = 65, 5 + x = 65, 5x + 65 = 90, 5x + 65 = 180. solve for x. x =

Explanation:

Step1: Identify angle - relationship

The angles \(5x\) and \(65^{\circ}\) are supplementary (a straight - line pair), so their sum is \(180^{\circ}\). The correct equation to solve for \(x\) is \(5x + 65=180\).

Step2: Solve the equation for \(x\)

First, subtract 65 from both sides of the equation \(5x+65 = 180\). We get \(5x=180 - 65\), so \(5x = 115\). Then divide both sides by 5: \(x=\frac{115}{5}=23\).

Answer:

The equation to solve for \(x\) is \(5x + 65 = 180\), and \(x = 23\)