Question

the diagram shows a triangle.
what is the value of w?
w = \square^\circ

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(19w + 93 + 49 = 180\).

Step2: Simplify the equation

Combine like terms: \(19w + 142 = 180\). Subtract 142 from both sides: \(19w = 180 - 142 = 38\).

Step3: Solve for w

Divide both sides by 19: \(w=\frac{38}{19}=2\).

Answer:

\(2\)