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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.
Two angles are said to be complementary if their sum is 90o. This makes them add up to a right angle. In a right triangle, the 2 angles other than the right angle are complementary because they add up to 90 degrees. (All the angles of a triangle add up to 180o). What is the measure of the missing angle in this right triangle? The missing angle and the 45 degree angle are complementary.