SOLUTION: in a triangle, each of the smaller angles is greater than 45^0. Prove that the triangles is acute angled.

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Question 847138: in a triangle, each of the smaller angles is greater than 45^0. Prove that the triangles is acute angled.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the two smaller angles > 90 deg. Since the sum of the measures of the angles of a triangle is 180 deg, it follows that the third angle is also acute.