Question

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

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let the three angles of the triangle be \(69^{\circ}\), \(39^{\circ}\), and \(z\). Then \(69 + 39+z=180\).

Step3: Solve for \(z\)

First, calculate \(69 + 39 = 108\). Then \(z=180 - 108\).

Answer:

\(72\)