Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 5.5 AIME, harder Find the answer

In the regular 18-gon $\quad \mathrm{A}_{1} \mathrm{~A}_{2} . \mathrm{A}_{18}$ with circumcenter M, P is the intersection of $A_{1} A_{7}$ with $M A_{2}$ and $Q$ is the intersection of $A_{2} A_{13}$ with $M A_{1}$ . Calculate the angle $\angle \mathrm{MPQ}$ .

## 2. Selection Exam

Solution

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