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MathNet 2015-part-04 — 191 problems (EN–VI) Question 185

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

Question 185

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