Question

what is the value of w?

w =
submit

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(2w+(2w - 17)+(w + 17)=180\).

Step2: Simplify the equation

Combine like terms: \(2w+2w-17+w + 17=180\).
\((2w+2w+w)+(-17 + 17)=180\).
\(5w=180\).

Step3: Solve for \(w\)

Divide both sides of the equation \(5w = 180\) by \(5\): \(w=\frac{180}{5}\).

Answer:

\(w = 36\)