question\nthe 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, (71+(2x + 5)+62=180).

Step2: Combine like - terms

((71 + 5+62)+2x=180), which simplifies to (138 + 2x=180).

Step3: Isolate the variable term

Subtract 138 from both sides: (2x=180 - 138), so (2x = 42).

Step4: Solve for x

Divide both sides by 2: (x=\frac{42}{2}).

Answer:

(x = 21)