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scoundrel [369]
4 years ago
13

A horizontal line contains points A, C, B. 2 lines extend from point C. A line extends to point E and another line extends to po

int D. An arc represents angle A C D.
Ray CE is the angle bisector of AngleACD. Which statement about the figure must be true?

mAngleECD = One-halfmAngleECB
mAngleACE = one-halfmAngleACD
AngleACE Is-congruent-to AngleDCB
AngleECDIs-congruent-to AngleACD

Mathematics
2 answers:
Effectus [21]4 years ago
6 0

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

A, C and B are the points lying on a straight line.

2 lines EC and DC have been drawn by extending the lines from C to E and D respectively.

Ray CE is the angle bisector of ∠ACD.

That means CE divides ∠ACD in two equal parts.

m∠ACE = m∠DCE

Since m∠ACD = m∠ACE + m∠DCE

                        = 2(m∠ACE)

          m∠ACE = \frac{1}{2}(\angle ACD)

Therefore, option (2) will be the answer.

Alika [10]4 years ago
5 0

Answer:

b

Step-by-step explanation:

took test

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