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, we have the equation \(59+(2x + 16)+79=180\).

Step2: Simplify the left - hand side

Combine like terms: \(59+16 + 79+2x=180\), which gives \(154+2x=180\).

Step3: Isolate the variable term

Subtract 154 from both sides of the equation: \(2x=180 - 154\), so \(2x=26\).

Step4: Solve for x

Divide both sides by 2: \(x = 13\).

Answer:

\(x = 13\)