a) The diagonals of a kite are perpendicular.
ΔCDE is a right triangle.
∠EDC ∠ECD
(Base ∠s of isos.Δ are .)
m∠ECD + m∠DEC + 90 = 180
m∠ECD +m∠ECD = 90
2m∠ECD = 90
m∠ECD = 45

b) ΔAEB ΔCEB by ASA or SAS or AAS
m∠ABE = m∠EBC = 32º
m∠ECB = 58º