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X = 40°
Step-by-step explanation:
In A BDC,
BD = CD [ Given ]
..ABDC is an isosceles A
Given that DBC = 35°
..DCB = 35° [ Base angles of an isosceles A are
equal ]
..BDC = 110° [ Sum angle property]
BDC + ADC = 180° [ Linear pair ]
..ADC = 70 °
A CAD is also isosceles as CA = CD
.. CAD = 70°
By using sum angle property in A CAD, we get that the required angle that is DCA is 40°
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