Geometry/Trigonometry Determine angle in a Triangle

Asked Sep 02 '15 at 13:27

Active Sep 02 '15 at 13:41

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Triangle ABC is isosceles with BC as base, AB=AC and Angle A=20 degrees. Points D and E lie on sides AB and AC respectively, such that D lies between A and B, E lies between A and C, angle BCD=50 degrees, angle CBE=60 degrees. Determine Angle ADE.

Edit: I have tried to solve this question with simple additions/subtractions of angles with and without additional geometric constructions to achieve the goal but in vain. Is there a solution that does not involve trigonometry?

edited Sep 02 '15 at 13:41

asked Sep 02 '15 at 13:27

Deepak Gupta

Have you tried drawing a picture? – Michael Burr Sep 02 '15 at 13:35
Yes, and I assure you it's not trivial. – Deepak Gupta Sep 02 '15 at 13:37
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this is a very well known problem. see http://jwilson.coe.uga.edu/emt725/BotCan/Solution/Solution.html – David Quinn Sep 02 '15 at 13:54
Duplicate: http://math.stackexchange.com/q/6942/409 – Blue Sep 02 '15 at 14:03
Thank you, I supposed this was just an adhoc geometry problem as the friend who have this to me did not mention anything about it having such a history. What should I do to remove it? – Deepak Gupta Sep 02 '15 at 14:12

Geometry/Trigonometry Determine angle in a Triangle

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