Question

give diagram of this question
as soon as possible.....



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Answer 1

this is the right diagram...

Answer 2

Solution:-ABD is the exterior angle adjacent to ∠ABC.

 

∠ABD + ∠ABC = 180°    (Linear pair)

 

⇒∠ABD = 180° – ∠ABC  … (1)

 

In ∆BOC,

∠OBC + ∠OCB + ∠BOC = 180°  (Angle sum property)

then,

1/2(∠ABC)+1/2(∠ACB)+∠BOC (2)

In ∆ABC

AB=AC(Given)

∠ACB=∠ABC. (3)

then,

From equation 1 and 2

1/2(∠ABC)+1/2(∠ACB)+∠BOC=180

so,

∠ABC+∠BOC=180

∠ABC=180-∠BOC. (4)

From equation 3 and 4

∠ABC=∠BOC