Question

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

Explanation:

Step1: Use the straight - angle property

The sum of angles on a straight line is \(180^{\circ}\). Here, we have three angles \((x + 5)^{\circ}\) each. So the equation is \(3(x + 5)=180\).

Step2: Solve the equation \(3(x + 5)=180\)

First, divide both sides of the equation by 3:
\(\frac{3(x + 5)}{3}=\frac{180}{3}\)
\(x + 5 = 60\)
Then, subtract 5 from both sides:
\(x+5 - 5=60 - 5\)
\(x = 55\)

Answer:

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