It is in the EXIF data, but the info is under Canon tag. For any EXIF-related tasks, I wholeheartedly recommend ExifTool by Phil Harvey.
Here's an example of a real file (which coincidentally was shot with Canon 450D)
$ exiftool -canon:"WB_RGGB*" -canon:"*temp*" MG_5366.CR2
WB RGGB Levels As Shot : 2270 1024 1024 1520
WB RGGB Levels Auto : 2270 1024 1024 1520
WB RGGB Levels Measured : 2267 1023 1024 1518
WB RGGB Levels Daylight : 2245 1024 1024 1425
WB RGGB Levels Shade : 2595 1024 1024 1197
WB RGGB Levels Cloudy : 2422 1024 1024 1299
WB RGGB Levels Tungsten : 1660 1075 1075 2222
WB RGGB Levels Fluorescent : 1960 1024 1024 1945
WB RGGB Levels Kelvin : 2245 1024 1024 1425
WB RGGB Levels Flash : 2485 1024 1024 1273
Camera Temperature : 18 C
Color Temperature : 5200
Color Temp As Shot : 4955
Color Temp Auto : 4955
Color Temp Measured : 4955
Color Temp Daylight : 5200
Color Temp Shade : 7000
Color Temp Cloudy : 6000
Color Temp Tungsten : 3200
Color Temp Fluorescent : 3776
Color Temp Kelvin : 5189
Color Temp Flash : 6310
NB: Windows users: double-check that you use double-quotes, not single quotes.
EDIT: The Color Temp infos are "nice to know" data, but they do not hold any other value than informational. The °Kelvins are probably based on camera's WB calculations and post-processing software most likely uses the WB RGGB Levels data.
I tested this by changing the Color Temp As Shot
value from 5200
⇒ 7000
and opened the file in Photoshop (Adobe Camera Raw). Nothing did change.
Then I changed the WB RGGB Levels As Shot
value of a copy of the original file from 2270 1024 1024 1520
⇒ 1000 1000 1000 1000
and the image changed to this:
I did not change the Color Temp As Shot
value, but Adobe Camera Raw shows the temperature as 2150
(tint -144
)
Summa summarum: Adobe Camera Raw calculates the "Color Temperature" from the EXIF-data, from WB_RGGBLevels* tag, under the Canon group (under the Maker Notes group).