Given that ∠cea is a right angle and (eb) bisects ∠cea, which statement must be true?

a) ∠bea ≅ ∠cea

b) ∠ceb ≅ ∠cea

c) m∠ceb = 45°

d) m∠cea = 45°

Answer

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 is  that cuts any object into two equal parts

As given

∠CEA is a right angle and EB bisects ∠CEA  i.e EB bisect the ∠CEA  in the two equal parts .

Thus  

∠CEB  = ∠AEB = 45 °

Therefore

m ∠CEB  = 45 °

Therefore option (C) is correct .

Hence proved

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.