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A right triangle, by definition, will never include any obtuse angles.
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A right triangle cannot contain any obtuse angles. The right angle represents 90° and the total of all three angles must be 180°. There is only 90° left for the remaining two angles, so neither can be obtuse (greater than 90°).
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yes an obtuse triangle has two acute angles
You can draw a triangle with two obtuse angles in a sphere
You will know that a triangle is obtuse if one of its angles is over 90°.