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 three angles each equal to 2w. So, 2w + 2w+2w=180°. Combining like - terms, we get 6w = 180°.

Step3: Solve for w

Divide both sides of the equation 6w = 180° by 6. So, w=\frac{180}{6}=30°.

Answer:

30