Question

If AB = AC and BD = CD, then prove that angle ABD = angle ACD.

Answer 1

Answer.


In ∆ABC

D is a point on side BC ,

Join A and D


GIVEN =>


AB=AC

BD=CD


PROVE=>


angle. ABD=angle ACD


SOLUTION=>

In ∆ ABD and ∆ ACD

AB = AC

BD= CD

AD =AD. ( common)

so ∆ ABC =_ { ~} ∆ ACD

so ∆ ABC cogurant to ∆ ACD. by (sss)


by cpct

angle ABD= angle ACD

Answer 2

Answer:

the above or below ans is wrong  the person has used triangle abd and acd because they are angle  and it is by cpct sas congruence property .

Step-by-step explanation:

angle b = angle  c

by sas

and the ratio is 1:1