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 \(x+(x + 9)+104=180\).

Step2: Combine like - terms

\(x+x+9 + 104=180\) simplifies to \(2x+113 = 180\).

Step3: Isolate the variable term

Subtract 113 from both sides of the equation: \(2x=180 - 113\), so \(2x=67\).

Step4: Solve for x

Divide both sides by 2: \(x=\frac{67}{2}=33.5\).

Answer:

\(33.5\)