Question

In the given figure, CA = CD = BD; CDBC = 35° and
DCA = . Find the value of x.
35°
FO
the giyen fimm
AAD
whose base​

Answer 1

$\sf\small\underline{In:-}$

In ∆ BDC,

BD = CD [ Given ]

•°•∆BDC is an isosceles ∆

Given that DBC = 35°

$\sf\small\underline{given:-}$

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° .