Question

look at the diagram. which equation can be used to solve for x? 5x + 72 = 180 5x + 38 = 72 5x + 110 = 180 5x = 110 solve for x. x =

Explanation:

Step1: Identify angle - sum property

The angles around a point sum to 360°. But if we consider the straight - line angle (180°), the non - overlapping angles (72°), (38°) and (5x)° on one side of a straight - line through point W must satisfy the angle - sum property of a straight line.
The sum of the angles 72° and 38° is \(72 + 38=110\)°.

Step2: Set up the equation

The sum of the angle (5x)° and the sum of the other two angles (72° and 38°) on one side of the straight - line through point W is 180°. So the equation is \(5x+72 + 38=180\), which simplifies to \(5x+110 = 180\).

Step3: Solve the equation for x

First, subtract 110 from both sides of the equation \(5x+110 = 180\).
\(5x=180 - 110\)
\(5x = 70\)
Then divide both sides by 5: \(x=\frac{70}{5}=14\)

Answer:

The equation is \(5x + 110 = 180\), \(x = 14\)