Question

look at the diagram. which equation can be used to solve for x? 18x = 126 3(x + 6) = 126 3x + 6 = 126 x + 18 = 126 solve for x. x =

Explanation:

Step1: Identify equal - angle relationship

We see that there are three angles of measure \((x + 6)^{\circ}\) that together make up the \(126^{\circ}\) angle.

Step2: Set up the equation

Since the sum of these three equal - sized angles is \(126^{\circ}\), we can write the equation \(3(x + 6)=126\).

Step3: Solve the equation for \(x\)

First, distribute the 3: \(3x+18 = 126\). Then subtract 18 from both sides: \(3x=126 - 18=108\). Finally, divide both sides by 3: \(x=\frac{108}{3}=36\).

Answer:

The equation is \(3(x + 6)=126\), and \(x = 36\)