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MathNet 2019-part-05 — 184 problems (EN–VI) Question 99

Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)

Question 99

A triangle $ABC$ is such that $IE = GJ$, where $E$ and $G$ are the feet of the altitudes from $A$, respectively $B$, and $I$ and $J$ are the midpoints of the segments $[AH]$, respectively $[BC]$. Find the measure of $\angle ABC$.

Petru Braica