Oriented Triangle Angles

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Drag a vertex across an edge to invert the orientation of the triangle. The angle measures give the counterclockwise rotations needed to align adjacent edges. The sum of the interior angles is always 180°, but the sum of the exterior angles is 900°.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Oriented Triangle Angles"
http://demonstrations.wolfram.com/OrientedTriangleAngles/
Wolfram Demonstrations Project
Published: March 7 2011