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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.
So it becomes:(A) If the sum of two adjacent angles is 180Â°, then a ray stands on a line (that is,the non-common arms form a line).Now you see that the Axiom 6.1 and statement (A) are in a sense the reverse ofeach others. We call each as converse of the other. We do not know whether thestatement (A) is true or not.