Respuesta :

Answer:

The value of x  in the given figure is  110°

Step-by-step explanation:

Here, In ΔABD,

AB=AD and  ∠ ABD =  35°

Now, ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL.

      As,  AB=AD

⇒ ∠ ABD =   ∠ ADB =    35°  

Now, In ΔABD,  by ANGLE SUM PROPERTY:

∠ ABD  + ∠ ADB +   ∠ DAB  =  180°

⇒ 35°   + 35°   + x  = 180°  

or,  x = 180°  - 70°  = 110°

⇒ x  = 110°

Hence, the value of x  =  110°