Question

in △qrs, rs = 19, 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 \(RS = 19\), \(SQ=15\), and \(QR = 14\). We have \(QR

Step3: Determine angle - side correspondence

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

Answer:

\(m\angle S < m\angle R < m\angle Q\)