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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.
Diagram of a triangle with an exterior angle. The exterior angle theorem tells us that the measure of angle D is equal to the sum of angles A and B. In formula form: m<D = m<A + m<B. Think back to our common fact that a straight line is equal to 180 degrees. We must also remember that the angles of a triangle equal 180 degrees as well. m<A + m<B + m<C = 180.