Question

look at the diagram. which equation can be used to solve for x? 5x - 19 = 128 5x + 53 = 128 22x - 36 = 128 22x + 36 = 128 solve for x. x =

Explanation:

Step1: Use angle - addition property

The large angle of \(128^{\circ}\) is the sum of the two non - overlapping angles \((5x + 17)^{\circ}\) and \(36^{\circ}\). So the equation is \((5x + 17)+36=128\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(5x+(17 + 36)=128\), which gives \(5x+53 = 128\).

Step3: Solve for \(x\)

Subtract 53 from both sides of the equation: \(5x=128 - 53\), so \(5x=75\). Then divide both sides by 5: \(x = 15\).

Answer:

The correct equation is \(5x + 53=128\) and \(x = 15\)