Difference between revisions of "2001 IMO Problems/Problem 5"
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==Problem== | ==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 | + | <math>ABC</math> is a [[triangle]]. <math>X</math> lies on <math>BC</math> and <math>AX</math> bisects [[angle]] <math>A</math>. <math>Y</math> lies on <math>CA</math> and <math>BY</math> bisects angle <math>B</math>. Angle <math>A</math> is <math>60^{\circ}</math>. <math>AB + BX = AY + YB</math>. Find all possible values for angle <math>B</math>. |
==Solution== | ==Solution== | ||
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==See also== | ==See also== | ||
| + | {{IMO box|num-b=4|num-a=6|year=2001}} | ||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 13:57, 2 November 2008
Problem
is a triangle. 
lies on 
and 
bisects angle 
. 
lies on 
and 
bisects angle 
. Angle is 
. 
. Find all possible values for angle .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2001 IMO (Problems) • Resources | ||
| Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 6 |
| All IMO Problems and Solutions | ||
