Under which angle conditions could a triangle exist? Check all that apply.

A triangle’s interior angles must add up to 180°. Three acute angles can add to 180°, such as 60° + 60° + 60°, and two acute angles plus one right angle can also add to 180°. Two obtuse angles already total more than 180°, so choices C and D are impossible; choice E can work, for example 30° + 60° + 90° is not obtuse, but 30° + 70° + 80° is also not obtuse—actually two acute angles and one obtuse angle can total 180°, such as 40° + 40° + 100°.

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