# Is it true that any triangle has at least one acute angle? Prove

August 30, 2021 | education

| Let an obtuse triangle ABC be given with an obtuse angle B. Angle ABC> 90.

The sum of the inner angles of a triangle is 180, then the sum of the angles (BAC + BCA) = (180 – (> 90)) = <90.

Since the sum of the two angles is less than 90, then these angles are acute, therefore, there cannot be less than two acute angles in a triangle, which was required to be proved.

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