Flower A and its pollination:
A chasmogamous flower is a flower that opens, exposing the anthers and stigma to the environment. Since A is open and exposed, hence, it is a chasmogamous flower.
As these flowers are exposed to the environment, they can reproduce either by self pollination or cross pollination.
Flower B and its pollination:
A cleistogamous flower is a flower that remains closed so that the anther and stigma are not exposed to the environment. Since B is not exposed, hence, it is a cleistogamous flower.
As these flowers are not exposed to the environment, they reproduce by self pollination only.
Final answer:
A: Chasmogamous flower - Self pollination/ Cross pollination
B: Cleistogamous flowers - Self pollination