In the diagram given that BD = DC =AD. The value of x in given figure is
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angle BAD = 50 degree since BD = AD by isoceles triangle property
therefore angle BDA = 80 degree by triangle sum property of 180 degree
therefore angle ADC = 100 degree by LPA
now given AD = DC
there fore angle DCA = x by isoceles triangle property
therefore 100 + 2x = 180 degree
therefore x = 40 degree
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