Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2 x =

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation \(74+(4x + 11)+63=180\).

Step2: Combine like - terms

\(74 + 11+63+4x=180\), which simplifies to \(148 + 4x=180\).

Step3: Isolate the variable term

Subtract 148 from both sides: \(4x=180 - 148\), so \(4x = 32\).

Step4: Solve for x

Divide both sides by 4: \(x=\frac{32}{4}\).

Answer:

\(x = 8\)