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IMSO 2017 — Mathematics — Short Answer Question 13

IMSO Maths · IMSO 2017 — Mathematics — Short Answer

Question 13

In the diagram below, $H$, $I$, $J$, ..., $Q$ and $R$ are 11 points on the circle such that $HI=IJ=JK=KL=LM$ and $NO=OP=PQ=QR$. If $HM$ is the diameter of the circle, find the total measure, in degrees, of $\angle HRI$, $\angle IQJ$, $\angle JPK$, $\angle KOL$ and $\angle LNM$.

Question illustration