In triangle ABC, AB=AC And BD = DC where D is a point on BC, then find ADB.
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Given=> AB=AC
BD=DC
Construction => Join AD
To prove that => angle ABD = angle ACD
Proof=> In triangle ADB & ADC
AD=AD [Common]
BD=CD [Given]
AB=AC [Given] Triangle ADB is congruent to Triangle ADC.
Therefore,
Angle ABD = Angle ACD [ C.P.C.T ]
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