Question

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

Explanation:

Step1: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(19w + 70+34 = 180\).

Step2: Simplify the left - hand side of the equation

\(19w+104 = 180\).

Step3: Isolate the term with \(w\)

Subtract \(104\) from both sides: \(19w=180 - 104\), so \(19w = 76\).

Step4: Solve for \(w\)

Divide both sides by \(19\): \(w=\frac{76}{19}\).

Answer:

\(4\)