Find that Angle! (GoGeometry Action 144)

Creation of this applet was inspired by a [url=https://twitter.com/gogeometry/status/996871638242250758]tweet[/url] posted by [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url] (GoGeometry). [br][br][b][color=#1e84cc]Geometry Students:[/color][/b][br]Take a look at the applet below. [b][color=#ff00ff]What is the measure of the pink angle? [/color][/b][br]This problem may look difficult at first, but it's actually quite simple. [br]As a hint, try drawing this diagram on a separate sheet of paper. [br]Yet on this paper, draw the ENTIRE CIRCLE (of which this 1/4 circle is a part). [br]Any insight? [br][br][br]See if you can figure this out WITHOUT sliding the "Solution" slider.

Information: Find that Angle! (GoGeometry Action 144)