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 relationships

There are three angles each measuring $(x + 6)^{\circ}$ that together equal the $126^{\circ}$ angle. So the equation is $3(x + 6)=126$.

Step2: 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 $x = 36$