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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.
1 The measure of the third angle. 2  In this case, you add its measure to 90, the number of degrees in the right angle and subtract that total from 180. 3  The measure of any two of the triangleâs sides. 4  In this case, you can find the measure of the angle using trigonometry.ou can find the measure of one of the other angles if you know either of these things: 1  The measure of the third angle. 2  In this case, you add its measure to 90, the number of degrees in the right angle and subtract that total from 180. 3  The measure of any two of the triangleâs sides.