In triangular shape how many angles are greater than a right angle

Mathematics · Middle School · Thu Feb 04 2021

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In a triangular shape, at most, one angle can be greater than a right angle. Such a triangle with one angle greater than 90 degrees is known as an obtuse triangle. However, it's important to note that a triangle cannot have more than one angle greater than 90 degrees because the sum of all angles in any triangle must always equal 180 degrees. If a triangle had two angles greater than 90 degrees, the sum of those two angles alone would exceed 180 degrees, leaving no room for a third angle and violating the fundamental property of triangles.