Question

look at the diagram. which equation can be used to solve for x? 3x + 5 = 90 3x + 5 = 180 3(x + 5) = 180 3(x + 5) = 90 solve for x. x =

Explanation:

Step1: Recall angle - sum property

The sum of angles on a straight - line is 180°. Here, the three angles \((x + 5)^{\circ}\) at point \(B\) lie on a straight - line \(AC\). So, the sum of these three angles is 180°.
The equation is \(3(x + 5)=180\).

Step2: Solve the equation for \(x\)

First, divide both sides of the equation \(3(x + 5)=180\) by 3:
\(\frac{3(x + 5)}{3}=\frac{180}{3}\), which simplifies to \(x + 5 = 60\).
Then, subtract 5 from both sides: \(x=60 - 5\).

Answer:

The correct equation is \(3(x + 5)=180\) and \(x = 55\)