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Measure that angle IV (Posted on 2004-11-02) Difficulty: 4 of 5
Triangle ABC is isosceles with AB=AC. Point D is on side AB such that angle BCD is 70 degrees. Point E is on side AC such that angle EBC is 60 degrees. Angle ABE equals 20 degrees, and angle DCE equals 10 degrees.

Find angle EDC. Justify your answer.

See The Solution Submitted by Brian Smith    
Rating: 3.6667 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Generalization | Comment 18 of 21 |
(In reply to re: Generalization by Jils)

I generalized because this problem is similar to Langley's problem ( do a Google on "Langley's Problem" to see a synthetic proof ). I solved for angle EDC as a function of angles CBE and BCD. These angles are given for this problem and Langley's. 
  Posted by Bractals on 2004-11-09 20:03:18

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