Can Triangles Have Two Obtuse Angles? Explained

Discover why a triangle cannot have two obtuse angles based on the properties of triangle angle sums.

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No, triangles cannot have 2 obtuse angles. By definition, an obtuse angle is greater than 90 degrees. The sum of all interior angles in a triangle is always 180 degrees, so having two obtuse angles would exceed this total, making it geometrically impossible.

FAQs & Answers

  1. What is an obtuse angle in a triangle? An obtuse angle is an angle greater than 90 degrees but less than 180 degrees within a triangle.
  2. Why can't a triangle have two obtuse angles? Because the sum of all interior angles in a triangle is always 180 degrees, having two angles each greater than 90 degrees would exceed this sum, making it impossible.
  3. Can a triangle have one obtuse angle? Yes, a triangle can have exactly one obtuse angle, as long as the other two angles are acute and the total equals 180 degrees.

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