Question 2
A point $D$ lies on the side $AC$ of a triangle $ABC$. Triangle $ADB$ is isosceles with $DA=DB$. Triangle $DBC$ is also isosceles with $BC=BD$. All angles in triangles $ADB$ and $DBC$ are an integer number of degrees. What is the difference between the largest and smallest values that angle $ADB$ could have?
Numerical answer only; a non-negative integer less than 1000.
Numerical answer only; a non-negative integer less than 1000.