Question

solve for x. 18x = 126. which equation can be used to solve for x? 3x + 6 = 126, x + 18 = 126, 3(x + 6) = 126

Explanation:

Step1: Analyze the angle - sum relationship

We see that the angle of \(126^{\circ}\) is composed of three angles each of measure \((x + 6)^{\circ}\). So the equation based on the angle - sum property is \(3(x + 6)=126\).

Step2: Solve the equation \(3(x + 6)=126\) for \(x\)

First, divide both sides of the equation by 3:
\(\frac{3(x + 6)}{3}=\frac{126}{3}\), which simplifies to \(x + 6 = 42\).
Then subtract 6 from both sides: \(x=42−6\).
\(x = 36\).

Answer:

The equation that can be used to solve for \(x\) is \(3(x + 6)=126\), and \(x = 36\).