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
150

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