Answer:
57 deg
Step-by-step explanation:
Rhombus ABCD has diagonals AC and BD which intersect at point E.
The diagonals of a rhombus divide the rhombus into 4 congruent triangles.
If you find the measures of the angles of one of the triangles, then you know the measures of the angles of all 4 triangles.
Also, the diagonals of a rhombus are perpendicular.
Look at triangle BCE.
m<BCE = 33
m<BEC = 90
m<BCE + m<BEC + m<CBE = 180
33 + 90 + m<CBE = 180
m<CBE = 57
<ABE in triangle ABE corresponds to <CBE in triangle BCE.
m<ABE = m<CBE = 57
Answer: 57 deg
