Triangle Angle Sum Theorem
Triangle Angle Sum... always 180°?
This applet has measured the three angles of a triangle. The two visible lines are parallel.[br][br]Moving each vertex of the triangle changes the measure of each angle. The lines will remain parallel.[br][br]Does the sum of all angles always equal 180°?
Triangle Exterior Angle
[color=#000000]The [b]remote interior angles and exterior angle of a triangle[/b] are shown.[/color][color=#000000][br][br]Moving the vertices of the triangle will change the measures of the angles.[br][br]Using the measurements, 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] Is your conclusion always true?
[color=#000000]An [b]exterior angle of a triangle[/b] is shown.[br][br]The [/color][color=#ff00ff][b]pink angle[/b][/color][color=#000000] and [/color][b][color=#38761d]green angle[/color][/b][color=#000000] are referred to as [/color][i][color=#980000]remote interior angles[/color][/i][color=#000000] with respect to this [b]exterior angle[/b]. [br][br][/color] Use slider to illustrate the relationship between the the remote interior angles and the exterior angle.