Investigating the Triangle Angle Sum Theorem

To investigate: Click and drag the vertices of the triangle. Complete the following steps/questions. Click and drag the vertices forming an acute triangle. Record the interior angle measures of the triangle. 1) Write a general equation relating the interior angle measure. 2) Repeat above steps/question for a right triangle. 3) Repeat above steps/question for an obtuse triangle. 4) What do you observe about the triangle's 3 interior angles? Rotate the triangle 180 degrees about midpoint of AC and AB, by moving the sliders to 180. 5) What do you observe? 6) How does the rotation of the triangles relate to the triangle sum? 7) Does what you observed hold true for each case? Why or why not?