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In triangle A B C ,/B=45^@,/C=55^@ and b...

In triangle `A B C ,/_B=45^@,/_C=55^@` and bisector of `/_A` meets `B C` at a point `Ddot` Find `/_A D B` and `/_A D Cdot`

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in `/_\ABC`
`/_A+/_B+/_C=180^@`
`2/_BAD+45^@+55^@=180^@` (here /_BAD=/_CAD)
so `/_BAD=/_CAD`
in `/_\BAD `
from traingle sum` /_B+/_BAD+ /_ADB=180^@`
`45^@+40^@+/_ADB=180^@`
`/_ADB=95^@`
similarly in traingle `/_\ADC`
`/_ADC=180^@-40^@-55^@`
`=85^@`
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