Conditions of olympiad in geometry

In tasks 9-3 and 10-2, the last inequality is as follows: BHP angle> BCP angle

Reference to the conditions of the Olympiad: https://drive.google.com/drive/folders/1eR3XWEdRz6HPtbrZozeY3JuPr7emMj2O?usp=sharing

Send solutions using Google form: https://forms.gle/R6whMsgBCeWfQrpx6

Under this post, participants can ask questions about the conditions of the Olympiad.