Question

how did the birds keep their body warm by using their feathers?

Answer 1

here your answer
A bird's body heat warms the air between its feathers,” Marra explains. “So birds fluff up in the cold to trap as much air in their feathers as possible. The more trapped air, the warmer thebird.” ... One way birds keep their legs and feet warm is to stand on one leg, while the other is tucked up warmly inits feathers
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Answer 2

The feather is amazing at insulation because the fibers trap air incredibly well.