Canada Math Contest #2 - Problem 2

Full credit goes to the staff team at Canada Math for authoring these problems.

Two identical equilateral triangles perfectly overlap. One of them is rotated $180^\circ$, creating a $6$-point star. Similarly, two regular pentagons perfectly overlap, one of which is rotated $180^\circ$, creating a $10$-point star. What is the difference, in degrees, between the largest interior angle of the $6$-point star and the smallest interior angle of the $10$-point star?