Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 59°+86° + 7w=180°.

Step2: Combine like - terms

First, add 59 and 86: 59 + 86=145. The equation becomes 145+7w = 180.

Step3: Isolate the variable term

Subtract 145 from both sides of the equation: 7w=180 - 145. So, 7w = 35.

Step4: Solve for w

Divide both sides of the equation by 7: w=$\frac{35}{7}$.

Answer:

5