please solve this problem
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Step-by-step explanation:
Given:
triangle ABC is isosceles
So, AB = AC ..........(1)
triangle DBC us isosceles
So, DB = DC .............(2)
To prove: angle ABD = angle ACD
Proof
Let us join AD.
We take triangle ABD and triangle ACD,
In triangle ABD and triangle ACD,
AB = AC (From 1)
BD = CD (From 2)
AD = AD (Common)
therefore triangle ABD is congruent to triangle ACD (SSS congruence rule)
》angle ABD = angle ACD (CPCT)
HENCE PROVED.
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