2021 AIME II Problems/Problem 14
Problem
Let 
be an acute triangle with circumcenter 
and centroid 
. Let 
be the intersection of the line tangent to the circumcircle of at 
and the line perpendicular to 
at . Let 
be the intersection of lines 
and 
. Given that the measures of 
and 
are in the ratio 
the degree measure of 
can be written as 
where 
and 
are relatively prime positive integers. Find 
.
Solution
We can't have a solution without a problem.
See also
| 2021 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
