Question

comparing angle measures name the smallest and largest angles of the triangle. 10.

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger the side length, the larger the angle opposite it.

Step2: Identify the largest and smallest sides

The side lengths are \(PR = 10\), \(RQ=8\), and \(PQ = 6\). The largest side is \(PR = 10\), and the smallest side is \(PQ=6\).

Step3: Determine the angles opposite the sides

The angle opposite \(PR\) is \(\angle Q\), the angle opposite \(RQ\) is \(\angle P\), and the angle opposite \(PQ\) is \(\angle R\).

Answer:

The largest angle is \(\angle Q\) (opposite the longest side \(PR\)), and the smallest angle is \(\angle R\) (opposite the shortest side \(PQ\)).