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ANSWER:-
Given:
In the given figure, if AB= AC & DB= DC.
To find:
Find the ratio of ∠ABD to ∠ACD.
Solution:
Assume the figure,
Here,
⏺️AB= AC
⏺️DB= DC
Now,
In ∆ABC & ∆DBC are Isosceles∆.
Since,
AB = AC
&
DB= DC
Therefore,
∠ABC = ∠ACB &
∠DBC = ∠DCB [angle opposite equal sides]
So,
Let ∠ABD :∠ACD
(∠ABC - ∠DCB) : (∠ACB - ∠DCB)
(∠ABC -∠DBC): (∠ABC - ∠DBC)
[since, ∠ABC=∠ACB & ∠DBC=∠DCB]
=) 1:1
Therefore,
∠ABD: ∠ACD = 1:1.
Hope it helps ☺️
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