The measure of the angles are
angle 1 = 32°
angle 2 = 90°
angle 3 = 58°
angle 4 = 32°
A rhombus is a quadrilateral with all sides of equal length. Its opposite angles are equal, and the diagonals bisect each other at right angles.
Since the diagonals bisect each others at 90°
angle 2 = 90°
angle 1 = angle BAD = 32° ( the diagonal bisects the angle)
angle 4 = angle 1 = 32° ( alternate interior angles)
angle 3 = 180 -( 90 + 32)
angle 3 = 180 - 122
angle 3 = 58°