2007 JBMO Problems/Problem 2
Problem 2
Let be a convex quadrilateral with , and . The diagonals and intersect at point . Determine the measure of .
Solution
Let I be the intersection between and the angle bisector of So So We can conclude that are on a same circle. So Because and we have So So is on the angle bisector of and on the mediator of . The first posibility is that is the south pole of so is on the circle of but we can easily seen that's not possible The second possibility is that is isosceles in . So because and is isosceles in we have . So
See Also
2007 JBMO (Problems • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 | ||
All JBMO Problems and Solutions |