Question

determine the measure of the missing angle.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the missing angle be \(x\). We know that one angle \(A = 28^{\circ}\) and another angle \(B=128^{\circ}\), and \(x + A + B=180^{\circ}\).

Step2: Solve for the missing angle

\(x=180^{\circ}-A - B\). Substitute \(A = 28^{\circ}\) and \(B = 128^{\circ}\) into the formula: \(x=180-(28 + 128)\). First, calculate \(28+128 = 156\). Then \(x=180 - 156=24^{\circ}\).

Answer:

\(24^{\circ}\)