the diagram shows two congruent regular polygons joined together.

Answer:
The number of sides is 10 for one of them
Step-by-step explanation:
because a circle adds up to 360 degrees
so 72+a+b=360
a=b because they are the same
72+144+144=360
144 would be one angle for each side
so that would be 10 sides
(10-2)x180=1440
1440/10= 144