Addagrams 1

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Anagrams with that element of mystery

There are four words in an Addagrams puzzle, where the challenge is to find the mystery letter. By adding this letter to each word and rearranging, four new words will be formed. You aren’t told what the mystery letter is (it’s a mystery, right?) but it’s the same letter for all four words. Clues are given to help you along the way.
Before I confuse you any further, have a go at the Addagrams puzzle below.

Here are some more Addagrams to have a go at:

Addagrams 1 | Addagrams 2 | Addagrams 3