Question

question
the measures of the angles of a triangle are shown
in the figure below. solve for x.
38°
80°
(5x + 12)°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(80 + 38 + (5x + 12)=180\).

Step2: Simplify the left side

Combine like terms: \(80 + 38 + 12 + 5x = 180\) → \(130 + 5x = 180\).

Step3: Solve for x

Subtract 130 from both sides: \(5x = 180 - 130\) → \(5x = 50\). Divide by 5: \(x=\frac{50}{5}=10\).

Answer:

\(x = 10\)