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Naddika [18.5K]
2 years ago
6

Ray CE is the angle bisector of ACD. Which statement about the figure must be true?

Mathematics
2 answers:
Viefleur [7K]2 years ago
7 0

we know that

"Bisect" means to divide into two equal parts

so

If the ray CE is the angle bisector of ADC

then

Angle(ACD)=Angle(ACE)+Angle(ECD)

Angle(ACE)=Angle(ECD)

so

Angle(ACD)=2Angle(ACE)

Angle(ACE)=\frac{1}{2} Angle(ACD)

therefore

<u>the answer is the option</u>

Angle(ACE)=\frac{1}{2} Angle(ACD)

or

Angle(ACE)=Angle(ECD)

kakasveta [241]2 years ago
6 0
This is the concept of algebra, given that Ray CE is bisector of ACD, this implies that the ray has divided ACD equally hence, mACE=mECD. 
Also mACE=mDCB. The reason being they are all corresponding angles.
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