1) According to the Rhombus properties, all sides are congruent and the diagonals bisect those angles in the vertices.
2) So we can write:
m∡2 = 90º The larger diagonal bisects form a perpendicular angle.
m∡3 = 57º Opposite angles share the same measurement
m∡1 = 180º -(90º+57º) Since the angle adjacent to ∡3 is also 57º
m∡1 =33º
m∡4= 33º
3) The answers are:
m∡1 =33º
m∡2 = 90º
m∡3 = 57º
m∡4= 33º
