Triangle Angle Theorems

Interact with the app below for a few minutes.  [br]Then, answer the questions that follow.  [br][br]Be sure to change the locations of this triangle's vertices each time [i]before[/i] you drag the slider!
What is the [b]sum of the measures of the interior angles of this triangle? [/b]
What is the [b]sum of the measures of the exterior angles [/b]of this triangle?

Triangle Exterior Angle

[color=#000000]In the app below, an [b]exterior angle of a triangle[/b] is shown.[br]The 2 colored angles[/color][color=#000000] are referred to as its [/color][i]remote interior angles. [/i]
Interact with this app for a few minutes. LARGE POINTS are moveable.
[color=#000000]What can we conclude about the measure of an exterior angle when we compare it to its remote interior angles? Explain. [/color]
What other theorem is readily made obvious here?

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