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In Euclidean geometry, the sum of the angles Î± + Î² + Î³ is equal to two right angles (180Â° or Ï radians). This allows determination of the third angle of any triangle as soon as two angles are known. should IMHO be: In Euclidean geometry, the sum of the internal angles is a straight angle. This allows determining the amplitude of the third internal angle of any triangle once the amplitudes of the others are known. Similar confusions exist between segments and their lengths.
A triangle cannot have two sides perpendicular to a third side. The sum of the three angles of a triangle is exactly 180 degrees. It must have three sides and three angles. Thus, it cannot have two angles whose sum comes to 180 degrees. In a right triangle, two sides are always perpendicular. The measurements of these sides are used to calculate the area of a right triangle. In an acute or an obtuse triangle, no two sides are perpendicular. Learn more about Trigonometry