Question 1
Let $ABCD$ be cyclic, with $AB=7$ and $CD=8$. Points $P,Q$ lie on segment $AB$ with $AP=BQ=3$. Points $R,S$ lie on segment $CD$ with $CR=DS=2$. Prove that $PQRS$ is cyclic.
Proposed by Evan o’Dorney. Source: Evan Chen’s third-party compilation; https://aops.com/community/p30216434. One editorial point; manual grading.
Proposed by Evan o’Dorney. Source: Evan Chen’s third-party compilation; https://aops.com/community/p30216434. One editorial point; manual grading.