in the goven figure ca=cd=bd angle dbc =35 and angle dca=x find the vqlue of x
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Answer:
X = 40 °
Step-by-step explanation:
In ∆ BDC,
BD = CD [ Given ]
•°•∆BDC is an isosceles ∆
Given that DBC = 35°
•°•DCB = 35° [ Base angles of an isosceles ∆ are equal ]
•°•BDC = 110° [ Sum angle property ]
BDC + ADC = 180° [ Linear pair ]
•°• ADC = 70 °
∆ CAD is also isosceles as CA = CD
•°• CAD = 70 °
By using sum angle property in ∆ CAD, we get that the required angle that is DCA is 40 °
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Answer is given in the picture
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