Question

in △qrs, rs = 13, sq = 15, and qr = 14. which statement about the angles of △qrs must be true? answer: m∠s < m∠r < m∠q; m∠q < m∠s < m∠r; m∠r < m∠q < m∠s; m∠s < m∠q < m∠r; m∠q < m∠r < m∠s; m∠r < m∠s < m∠q

Explanation:

Step1: Recall angle - side relationship

In a triangle, the larger the side length, the larger the measure of the opposite angle.

Step2: Compare side lengths

Given \(RS = 13\), \(SQ=15\), and \(QR = 14\). We have \(RS

Step3: Determine angle - size order

The angle opposite \(RS\) is \(\angle Q\), the angle opposite \(QR\) is \(\angle S\), and the angle opposite \(SQ\) is \(\angle R\). So \(m\angle Q

Answer:

\(m\angle Q < m\angle S < m\angle R\) (corresponding to the option that reads \(m\angle Q