MathDB
2001 Stanford Math Tournament Team #15

Source:

May 24, 2014
Stanfordcollegetrigonometrygeometrytrig identitiesLaw of Sines

Problem Statement

Let ABCABC be an isosceles triangle with ABC=ACB=80\angle{ABC} = \angle{ACB} = 80^\circ. Let DD be a point on ABAB such that DCB=60\angle{DCB} = 60^\circ and EE be a point on ACAC such that ABE=30\angle{ABE} = 30^\circ. Find CDE\angle{CDE} in degrees.