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Triangles BDC and ACD are coplanar and isosceles.  If we have angle ABC = 72 degrees, what is angle BAC, in degrees?

 May 29, 2021
 #1
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I am stuck on this one.....here is a diagram I started:

 

 May 29, 2021
 #2
avatar+556 
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Th

The problem has 2 interpretations, one is EP's (which is ambiguous, BAC can be anything -- use trig ceva). The other is the above (intended) one.

 

$2\angle BAC+180-72=180\implies \angle BAC = 36$. Easy.

 May 30, 2021

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