Problem 3.1: What are the measures of the angles in an equiangular triangle? [Solution]

Problem 3.2: If two angles in a triangle have a measure of 60 degrees, what is true about the sides of that triangle? [Solution]

Problem 3.3: In triangle ABC, sides AB and BC are equal, and angle B is 60 degrees. What is true about triangle ABC? [Solution]

Problem 3.4: Can a trapezoid be divided into two equilateral triangles? A parallelogram? A rhombus? A square? A rectangle? [Solution]

Problem 3.5: Is it ever possible for a triangle to be either equilateral or equiangular and not the other? [Solution]