This is a rather challenging puzzle. It involves finding arc measures of a circle intersected with a number of secants and chords as well as the angles formed by the secants and chords.
I call it The Blue Jay because of its resemblance to a species of scrub jay that lives in the San Gabriel Mountains in Southern California.
Before handing this out, make sure you have covered the angle/arc relationships in circles ( angles formed by two secants where the vertex is outside the circle,  angles formed by two chords that intersect in the circle but not at the center,  central angles and  angles formed by two chords that intersect with the circle.
I have provided a key.