Question

look at the diagram. which equation can be used to solve for x? 38x = 119, 44x = 119, 3x - 41 = 119, 3x + 41 = 119. solve for x.

Explanation:

Step1: Identify angle - sum relationship

The sum of the two adjacent angles \(41^{\circ}\) and \((3x)^{\circ}\) is equal to \(119^{\circ}\).

Step2: Write the equation

Based on the above - mentioned relationship, we can write the equation \(3x + 41=119\).

Step3: Solve the equation for \(x\)

Subtract 41 from both sides of the equation: \(3x=119 - 41\), so \(3x = 78\). Then divide both sides by 3: \(x=\frac{78}{3}=26\).

Answer:

The equation to solve for \(x\) is \(3x + 41 = 119\), and \(x = 26\).