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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.
6.36 6.7 Angle Sum Property of a Triangle In the earlier classes, you have studied through activities that the sum of all the anglesof a triangle is 180Â°. We can prove this statement using the axioms and theoremsrelated to parallel lines. Theorem 6.7: The sum of the angles of a triangle is 180 Âº.