Question

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

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, \(80+(5x + 12)+38=180\).

Step2: Combine like - terms

\(80+38+12 + 5x=180\), which simplifies to \(130+5x=180\).

Step3: Isolate the variable term

Subtract 130 from both sides: \(5x=180 - 130\), so \(5x=50\).

Step4: Solve for x

Divide both sides by 5: \(x=\frac{50}{5}=10\).

Answer:

\(x = 10\)