Question

a triangle has angle measurements of 12°, 110°, and 58°. what kind of triangle is it?
acute right
obtuse

Explanation:

Step1: Recall triangle type definitions

• Acute triangle: All angles < \(90^\circ\).
• Right triangle: One angle = \(90^\circ\).
• Obtuse triangle: One angle > \(90^\circ\).

Step2: Analyze given angles

Given angles: \(12^\circ\), \(110^\circ\), \(58^\circ\).
Check \(110^\circ\): \(110^\circ > 90^\circ\).

Answer:

obtuse (The triangle has one angle \(110^\circ\) which is greater than \(90^\circ\), so it is an obtuse triangle.)