Question

calculate angle r.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. Let \(\angle P = 80^{\circ}\), \(\angle Q=66^{\circ}\), and \(\angle R\) be the unknown angle. Then \(\angle P+\angle Q+\angle R = 180^{\circ}\).

Step2: Solve for \(\angle R\)

\(\angle R=180^{\circ}-\angle P - \angle Q\). Substitute \(\angle P = 80^{\circ}\) and \(\angle Q = 66^{\circ}\) into the formula: \(\angle R=180-(80 + 66)=180 - 146=34^{\circ}\).

Answer:

34°