The most common and most likely answer to this crossword clue is the 12 letter word INCANDESCENT
I've seen this crossword clue in The Sunday Telegraph
I
N
C
A
N
D
E
S
C
E
N
T
More clues leading to the result INCANDESCENT
- Brilliant how some food is stored by fall
- Old Peruvian ancestry shining brightly
- Brilliant old Peruvian lineage
- Fiery, being of S American lineage
- Glowing report dispatched after I left hot sweets
- Where prisoner is going down seeing red
- Fashionable container sinking and glowing
- Popular Canadian dip is red-hot
- Very bright having old Peruvian origin
- Dazzling South American pedigree
Buddy explains!

The straight part
We know that "Extremely angry" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case extremely angry = incandescent.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does INCANDESCENT mean?
INCANDESCENT noun- An incandescent lamp or bulb
- Emitting light as a result of being heated
- Shining very brightly
- Showing intense emotion, as of a performance, etc.