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Cut-The-Knot-Action (5)!

Author:
Tim Brzezinski
Topic:
Angles, Polygons
Creation of this applet was inspired by a tweet from Alexander Bogomolny. In the applet below, a regular pentagon and a regular decagon share a common side. What is the measure of the pink angle? How can you formally prove what this applet informally illustrates?

Quick (Silent) Demo

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