Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation \(31+(2x + 1)+104=180\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \(31 + 1+104+2x=180\), which simplifies to \(136 + 2x=180\).

Step3: Isolate the variable term

Subtract 136 from both sides of the equation: \(2x=180 - 136\), so \(2x = 44\).

Step4: Solve for x

Divide both sides by 2: \(x=\frac{44}{2}=22\).

Answer:

22