Part 1: I have decided to create an acute triangle. The three angle measures I will use are 50 degrees, 60 degrees, and 70 degrees. These angle measures add up to 180 degrees, which satisfies the Triangle Angle Sum Theorem.
Part 2: The Triangle Angle Sum Theorem is important because it states that the sum of the angles in any triangle must always equal 180 degrees. This ensures that when creating a triangle, the angles I choose will work together to form a valid triangle shape, preventing mistakes or inconsistencies.