Difference between revisions of "2001 IMO Problems/Problem 5"
(New page: 5. ABC is a triangle. X lies on BC and AX bisects angle A. Y lies on CA and BY bisects angle B. Angle A is 60o. AB + BX = AY + YB. Find all possible values for angle B.) |
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| − | + | ==Problem== | |
| + | ABC is a triangle. X lies on BC and AX bisects angle A. Y lies on CA and BY bisects angle B. Angle A is 60o. AB + BX = AY + YB. Find all possible values for angle B. | ||
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| + | ==Solution== | ||
| + | {{solution}} | ||
| + | |||
| + | ==See also== | ||
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| + | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 12:55, 2 November 2008
Problem
ABC is a triangle. X lies on BC and AX bisects angle A. Y lies on CA and BY bisects angle B. Angle A is 60o. AB + BX = AY + YB. Find all possible values for angle B.
Solution
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