Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 2 out of 2 x = 18.25 submit answer

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 \(39+(4x + 19)+62=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((39 + 19+62)+4x=180\), which gives \(120 + 4x=180\).

Step3: Isolate the variable term

Subtract 120 from both sides: \(4x=180 - 120\), so \(4x=60\).

Step4: Solve for x

Divide both sides by 4: \(x=\frac{60}{4}=15\).

Answer:

\(x = 15\)