Solution to Parallel Lines & Angles Problem

[color=#000000]In the applet below, the black lines are parallel. [br]Interact with this applet for a few minutes, then answer the questions that follow. [br][br]As you do, be sure to move the [/color][color=#38761d][b]BIG GREEN POINT[/b][/color][color=#000000] anywhere you'd like! [br][/color]
[b][color=#980000]Questions:[br][br][/color][/b][color=#000000]1) How does the measure of the indicated angle relate to the measures of the [/color][b][color=#ff00ff]pink angle[/color][/b][color=#000000] and the [/color][b][color=#1e84cc]blue angle?[/color][/b][color=#000000][br]2) What previously learned theorem justifies this fact? Explain in detail. [/color]

Information: Solution to Parallel Lines & Angles Problem