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Question

In the figuere, if AE || DC and AB=AC,the value of  ABD is


  1.  110

  2.  120 

  3.  130

  4.  70


Solution

The correct option is A

 110


(b),

In the figure, AE || DC

 1=70               (Vertically opposite angles)

 1=2                        (Alternate angles)

2=ABC

(Base angles of isosceles triangle)

 ABC=70

But ABC+ABD=180                 (Linear pair)

 70+ABD=180

 ABD=18070=110

 ABD=110                                           

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