Question

in $delta qrs$, $rs = 9$, $sq = 11$, and $qr = 7$. which list has the angles of $delta qrs$ in order from smallest to largest? answer: $mangle r$, $mangle q$, $mangle s$; $mangle q$, $mangle r$, $mangle s$; $mangle s$, $mangle q$, $mangle r$; $mangle s$, $mangle r$, $mangle q$; $mangle r$, $mangle s$, $mangle q$; $mangle q$, $mangle s$, $mangle r$

Explanation:

Step1: Recall angle - side relationship

In a triangle, the smallest angle is opposite the shortest side and the largest angle is opposite the longest side.

Step2: Identify side lengths

Given \(RS = 9\), \(SQ=11\), and \(QR = 7\). The order of side - lengths from shortest to longest is \(QR

Step3: Determine corresponding angles

The angle opposite \(QR\) is \(\angle S\), the angle opposite \(RS\) is \(\angle Q\), and the angle opposite \(SQ\) is \(\angle R\). So the order of angles from smallest to largest is \(\angle S,\angle Q,\angle R\) or \(m\angle S,m\angle Q,m\angle R\).

Answer:

C. \(m\angle S, m\angle Q, m\angle R\)