Why can't a triangle have a right angle and an obtuse angle?
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If a triangle has one right angle and one obtuse angle, sum of these two angles exceeds 180 degrees.It is contradiction to the fact that sum of three angles in a triangle is 180 degrees.
rockaditya45:
Therefore, in any triangle where there is at least one obtuse angle (greater than 90 degrees but smaller than 180 degrees), it means that the triangle can only have its two other angles smaller than 90 degrees because an obtuse angle (for example, 91 degrees) means there is only 89 degrees (at the most)
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