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GoGeometry Action 51!

Topic:
Geometry
Creation of this applet was inspired by a post from Antonio Gutierrez (GoGeometry). Note: The green slider alters the size of the triangle's interior angle with green vertex. The white point adjacent the pink angle alters the size of this pink angle. Any of the other BIG WHITE POINTS can be placed anywhere you'd like. How can we formally prove the phenomena dynamically illustrated here?

Quick (Silent) Demo