The statement is true be option (C) i.e m∠CEB = 45° .
To prove
Reason
As shown in the diagram
∠CEA = ∠CEB + ∠AEB
Bisector
A bisector that cuts any object into two equal parts
As given
∠CEA is a right angle and EB bisects ∠CEA i.e EB bisects the ∠CEA in the two equal parts.
Thus
∠CEB = ∠AEB = 45 °
Therefore
m ∠CEB = 45 °
Therefore option (C) is correct.
Hence proved.
To know more about right angles triangle refer below
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