Special Triangles

Problem : What are the measures of the angles in an equiangular triangle?

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

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

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

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