A triangle can contain both a right angle and obtuse angle?

Question

Mathematics

Felipe Deleon

20 November, 23:04

A triangle can contain both a right angle and obtuse angle?

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Kaylen Roberts · Answer 1

No. Since all triangles have angles with a sum of 180°, if one angle is 90°, the sum of the other two angles must be 90°. An obtuse angle is greater than 90°, so having an obtuse angle in a right triangle is impossible, because it would make the sum of all angles greater than 180°.