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Question
question
in △rst, st = 2, tr = 10, and rs = 9. which list has the angles of △rst in order from largest to
smallest?
answer
○ m∠r, m∠s, m∠t
○ m∠t, m∠r, m∠s
○ m∠t, m∠s, m∠r
○ m∠s, m∠r, m∠t
○ m∠s, m∠t, m∠r
○ m∠r, m∠t, m∠s
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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
Given \(ST = 2\), \(RS=9\), \(TR = 10\). So, \(ST Let \(\angle R\) be opposite \(ST\), \(\angle T\) be opposite \(RS\), and \(\angle S\) be opposite \(TR\).Step3: Determine the angles opposite the sides
Since \(ST
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\(m\angle S\), \(m\angle T\), \(m\angle R\)