Question

the diagram shows a triangle.
31°
w−21°
30°
what is the value of w?
w = \boxed{\space}°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(31^\circ + (w - 21)^\circ + 30^\circ = 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(31 + w - 21 + 30 = 180\) → \(w + 40 = 180\).

Step3: Solve for \(w\)

Subtract 40 from both sides: \(w = 180 - 40 = 140\).

Answer:

\(w = \boxed{140}\)