Answer: ∠BAT=∠CAT
Step-by-step explanation:Corresponding sides and angles of congruent triangles are congruent.
\triangle{BAT} \cong \triangle{CAT}
\\
\\BA=CA
\\AT=AT
\\BT=CT
\\ \angle{TBA}=\angle{TCA}
\\ \angle{BAT}=\angle{CAT}
\\ \angle{ATB}=\angle{ATC}
So, the answer is \angle{BAT}=\angle{CAT}