Angles in an Isosceles Triangle

You are given an isosceles triangle ABC with side AB=AC, and angle BAC = 20 degrees. Place a point D on side AB. Place a point E on side AC. Angle CBE equals 60 degrees. Find angle CDE if:
  1. angle BCD equals 50 degrees.
  2. angle BCD equals 70 degrees.

Source: rec.puzzles.

Solution
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