Lear's daughter explodes in anger (5)

I believe the answer is:

regan

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'lear's daughter' is the definition.
(in Shakespeare's King Lear)

'explodes in anger' is the wordplay.
'anger' anagrams to 'REGAN'.
Though, I'm not sure how this is indicated.

Can you help me to learn more?

(Other definitions for regan that I've seen before include "Lear's daughter" , "Princess" , "daughter in play" , "Goneril's sister (K. Lear)" , "part of 1 25 [KING LEAR]" .)

I've seen this clue in The Globe and Mail.

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