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MathNet 2015-part-04 — 191 problems (EN–VI) Question 169

Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)

Question 169

The diagonals of the parallelogram $ABCD$ meet at $O$. The bisectors of the angles $DAC$ and $DBC$ meet at $T$. It is known that $\overrightarrow{TD}+\overrightarrow{TC}=\overrightarrow{TO}$. Find the measures of the angles of triangle $ABT$.

Claudiu Militaru