Question

I am backing a cake; said the chef.
the chef said that he _____________ a cake​

Answer 1

$\text{ᴀɴsᴡᴇʀ }$

the chef said that he backed a cake

Answer 2

Answer:

I am baking a cake; said the chef.

the chef said that he baked a cake.

As it is present in the direct speech do it will change to past tense in indirect speech.

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