Posted by Anonymous on Thursday, March 7, 2013 at 1:57pm.
ABCD is a convex quadrilateral satisfying AB=BC=CD,AD=DB and ∠BAD=75∘. What is the measure of ∠BCD?

geometry  Steve, Thursday, March 7, 2013 at 3:25pm
Since AD=DB, triangle ABD is isosceles, so
∠DAB = ∠DBA = 75° and ∠ADB = 30°
Now draw AC, and again we have isosceles triangles ABC and BCD.
∠BCD = 75°

geometry  stranger, Monday, August 5, 2013 at 12:37pm
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