Question

a triangle has angle measurements of 162°, 2°, and 16°. 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

The angles are \(162^\circ\), \(2^\circ\), \(16^\circ\). Since \(162^\circ>90^\circ\), the triangle has an obtuse angle.

Answer:

obtuse (The triangle is obtuse because it has an angle (\(162^\circ\)) greater than \(90^\circ\).)