I Was Vey Amaze At The Solution 15

Suppose we have a square $ABCD$ whose side is $2018$ units. The points $S$ and $T$ are located at side $\overline{BC}$ such that, $\overline{BS} = 1009$ units, $\overline{TS} = 336 \dfrac{1}{3}$ units and point $T$ can be found in segment $\overline{BS}$ . Solve for the sum:

$\angle BAS + \angle BAT$

---

Note: The angles are in degrees.

---

For more problems like this, try this set .