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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.
The sin of an angle is going to be the same as the cosine of that angle's complement. Imagine a right triangle. The sum of the angles in a triangle is 180 and one of those is a right angle, leaving the other 2 to be 90.Take one of those angles called A. The cosine of A = adjacent leg over hypotenuse. Then go to the other angle and take the sin of it. The sine of B is the opposite leg over hypotenuse.But the opposite leg of angle B is the adjacent leg of angle A giving you the same result.ake one of those angles called A. The cosine of A = adjacent leg over hypotenuse. Then go to the other angle and take the sin of it. The sine of B is the opposite leg over hypotenuse. But the opposite leg of angle B is the adjacent leg of angle A giving you the same result.