Which of the following angle measures are possible for a triangle to be classified as obtuse? Select all that apply. Select all that apply: 50∘,58∘,67∘ 124∘,28∘,28∘ 27∘,123∘,30∘ 101∘27∘,52∘

A triangle has three angles and three sides, and the sum of all three interior angles in any type of triangle equals 180 degrees. For a triangle to be called an obtuse triangle, the triangle must have any of its interior angles that have a measure that is greater than angle 90 degrees (right angle). This means the triangle contains an angle that is an obtuse angle.

In the set of angles, 50∘,58∘,67∘, none is greater than 90 degrees, so it is not possible for such triangle to form an obtuse triangle.

For 124∘,28∘,28∘, we have one angle that is an obtuse angle, therefore, the triangle can be classified as an obtuse triangle.

For the set, 27∘,123∘,30∘, 123 degrees is greater than 90 degrees. Therefore, this triangle is also an obtuse triangle.

The last set of angles in a triangle also has an angle that is more than 90 degrees. Therefore, a triangle that has the interior angles as, 101∘27∘,52∘ is classified as an obtuse triangle.

Therefore, the triangles that contain all the set of angles can be classified as obtuse, except A. 50∘,58∘,67∘.

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