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Question
a triangle has angle measurements of 56°, 56°, and 68°. what kind of triangle is it?
equilateral
isosceles but not equilateral
scalene
Step1: Recall triangle type definitions
- Equilateral: All angles equal ($60^\circ$ each).
- Isosceles: At least two angles equal.
- Scalene: All angles different.
Step2: Analyze given angles
Given angles: $56^\circ$, $56^\circ$, $68^\circ$. Two angles ($56^\circ$) are equal, so not scalene. Angles aren't all equal (not $60^\circ$), so not equilateral. Thus, it's isosceles but not equilateral.
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B. isosceles but not equilateral