Question

a triangle has angle measurements of 71°, 71°, and 38°. what kind of triangle is it?
equilateral
isosceles but not equilateral
scalene

Explanation:

Step1: Recall triangle types

• Equilateral: All angles \(60^\circ\) (all equal).
• Isosceles: At least two angles equal.
• Scalene: All angles different.

Step2: Analyze given angles

Given angles: \(71^\circ\), \(71^\circ\), \(38^\circ\). Two angles (\(71^\circ\)) are equal, so not scalene. Angles not all \(60^\circ\), so not equilateral. Thus, it's isosceles (not equilateral).

Answer:

B. isosceles but not equilateral (assuming options are labeled as such, with the second option being "isosceles but not equilateral")