Question

what is the value of w?

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°. So, \((w + 3)+(w + 44)+w=180\).

Step2: Combine like - terms

Combine the \(w\) terms and the constant terms: \((1 + 1+1)w+(3 + 44)=180\), which simplifies to \(3w+47 = 180\).

Step3: Isolate the variable term

Subtract 47 from both sides of the equation: \(3w=180 - 47\), so \(3w=133\).

Step4: Solve for \(w\)

Divide both sides by 3: \(w=\frac{133}{3}\approx44.33\).

Answer:

\(w = \frac{133}{3}\)