Question

arrange the angles from smallest to largest based on their measures.
∠q,∠p,∠r
∠p,∠r,∠q
∠p,∠q,∠r
∠q,∠r,∠p

Explanation:

Step1: Recall the triangle side - angle relationship

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

Step2: Compare the side lengths

We have side lengths \(PQ = 5.5\) in, \(QR=5.4\) in, and \(PR = 6.2\) in. So, \(QR\lt PQ\lt PR\).

Step3: Determine the angles opposite the sides

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

Answer:

\(\angle P,\angle R,\angle Q\)