Angles in Triangles

Vertical Angles Theorem
Vertical Angles Questions
1) Complete the following statement (based upon your observations). [br] [br] [color=#b20ea8]Vertical angles are always __________________________. [/color] [br][br]2) Suppose the pink angle above measures 140 degrees. What would the measure of its vertical angle? What would be the measure of the other 2 (gray) angles?
Exterior Angle Theorem
[color=#000000]In the applet above, an exterior angle of a triangle is shown.[br]The [/color][color=#ff00ff]pink angle[/color][color=#000000] and [/color][color=#38761d]green angle[/color][color=#000000] are referred to as [/color][i][color=#980000]remote interior angles[/color][/i][color=#000000] with respect to this exterior angle. [br][br]What can you conclude about the measure of an exterior angle of a triangle with respect to its [/color][color=#980000][i]2 remote interior angles? [br][br][/i][/color][color=#000000]What other theorem is readily made obvious here? [/color]

Information: Angles in Triangles