SOLUTION: a triangle can have two obtuse interior angles? thank you

Algebra ->  Triangles -> SOLUTION: a triangle can have two obtuse interior angles? thank you       Log On


   



Question 1061058: a triangle can have two obtuse interior angles?
thank you

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
No, because the sum of the measures of all 3 angles in a triangle is 180%5Eo ,
and two obtuse angles, each measuring more than 90%5Eo , would already add up to more than 180%5Eo .
If one angle is obtuse (measuring more than 90%5Eo ),
the measures of the other two angles must add to less than 90%5Eo ,
so those other two angles must be acute.