Example 1: Is there is a chance for a triangle to have more than 1 obtuse angle?
Solution:
Step 1: Let the angles of the triangle be L, M and N. Let L be the obtuse angle.
Step 2: The sum of all angles in any triangle is 180º. L + M + N = 180º.
If L > 90º then M + N must be less than 90º. Therefore, M and N must be acute angles.
Answer: No, triangle can have maximum one obtuse angle only.
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