Individual Problems and Solutions
For problems and detailed solutions to each of the 2004 USAMO problems, please refer below:
Problem 1: Let be a quadrilateral circumscribed about a circle, whose interior and exterior angles are at least . Prove that
When does equality hold?
Solution:
Problem 2: Suppose are integers whose greatest common divisor is 1 . Let be a set of integers with the following properties.
Prove that must be equal to the set of all integers.
Solution:
Problem 3: For what real values of is it possible to dissect a rectangle into two similar, but noncongruent, polygons?
Solution:
The problems on this page are the property of the MAA's American Mathematics Competitions