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(a) <c=50°(angles opposite to equal sides are equal and AB=AC)
(b) since AD is bisector of <A
therefore<BAD=<CAD______(i)
now,
in triangle BAD and triangle CAD
AB=AC(given)
<BAD=<CAD(from i)
AD=AD(common side)
therefore, triangle BAD is congurent to triangle CAD
hence BD=CD(by CPCT)
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