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In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees.  Find angle ABD.

 Feb 7, 2024
 #1
avatar+129881 
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        A

        17

   x       x

B           D            C

17

 

                    E

 

 

"Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees."  This has no bearing on the problem.  

 

If AD  = AB  then angle  ABD  =  angle ADB

 

So  angle   ABD  = (180 - 17)  / 2   =  81.5°  

 

cool cool cool

 Feb 7, 2024
edited by CPhill  Jun 3, 2024

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