the diagram shows a triangle. what is the value of w? w =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

We have 89° + 39°+13w = 180°.

Step3: Simplify the left - hand side

89 + 39=128, so the equation becomes 128+13w = 180.

Step4: Isolate the variable term

Subtract 128 from both sides: 13w=180 - 128. 13w = 52.

Step5: Solve for w

Divide both sides by 13: w=$\frac{52}{13}$. w = 4.

Answer:

4