Question

In ∆ABC ,AB =AC and the side BC is extended up to the point E.If ∠ACE = 115^ 0 ,then ∠ABC=?

Answer 1

Answer:

In △ABC,

∠ACD+∠ACB=180 (Linear pair)

115+∠ACB=180

∠ACB=180−115=65  

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Now, since, AC=AB

∠ABC=∠ACB=65  

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 (Isosceles triangle property)

Sum of angles of triangle = 180

∠BAC+∠ABC+∠ACB=180

∠BAC+65+65=180

∠BAC=50  

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Step-by-step explanation: