I have this problem I can't figure out. Hopefully someone can help me.

There's a quadrilateral ABCD. The angle ABC is 50degrees. The angle ADC is 120 degrees.

The angle BAD is bisected and the angle BCD is bisected. These lines of bisection meet at a point T.

What is the angle ATC?

Please don't laugh at how dumb I am. I know.

regards,

ab