Question

a triangle has angle measurements of 46°, 77°, and 57°. 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: Compare given angles

Given angles: \(46^\circ\), \(77^\circ\), \(57^\circ\). All three angles are distinct (no two equal, none \(60^\circ\)).

Answer:

scalene