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Question
a triangle has angle measurements of 38°, 137°, and 5°. what kind of triangle is it?
acute right obtuse
Step1: Recall triangle types
- Acute triangle: all angles < \(90^\circ\).
- Right triangle: one angle = \(90^\circ\).
- Obtuse triangle: one angle > \(90^\circ\).
Step2: Analyze given angles
The angles are \(38^\circ\), \(137^\circ\), \(5^\circ\). Here, \(137^\circ>90^\circ\).
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obtuse (since one angle, \(137^\circ\), is greater than \(90^\circ\), so the triangle is obtuse)