Question

the diagram shows a triangle. what is the value of w? w = ^{circ} submit work it out not feeling ready yet? these can help

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(38^{\circ}+40^{\circ}+(w + 19)^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add the known angles: \(38 + 40+(w + 19)=180\). Then \(78+w+19 = 180\), and \(w+97=180\).

Step3: Solve for \(w\)

Subtract 97 from both sides of the equation: \(w=180 - 97\).

Answer:

\(w = 83\)