Question

in δuvw, vw = 6, wu = 16, and uv = 13. which statement about the angles of δuvw must be true? answer
○ m∠v > m∠w > m∠u
○ m∠u > m∠v > m∠w
○ m∠u > m∠w > m∠v
○ m∠v > m∠u > m∠w
○ m∠w > m∠u > m∠v
○ m∠w > m∠v > m∠u

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 \(VW = 6\), \(WU=16\), and \(UV = 13\). We have \(WU>UV > VW\).

Step3: Determine angle - size order

The angle opposite \(WU\) is \(\angle V\), the angle opposite \(UV\) is \(\angle W\), and the angle opposite \(VW\) is \(\angle U\). So \(m\angle V>m\angle W > m\angle U\).

Answer:

\(m\angle V>m\angle W > m\angle U\)