In Figure, T Q\ a n d\ T R are the bisec...

In Figure, `T Q\ a n d\ T R` are the bisectors of `/_Q\ a n d\ /_R` respectively. If `/_Q P R=80^0a n d\ /_P R T=30^0,` determine `/_T Q R\ a n d\ /_Q T R`

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Since the bisectors of Q and `/_QTR = 90^@ + QPR `[By Corollary]
=` 90^@+ 80^@`
`/_QTR = 130^@`
In `AQTR`, we have `/_(TQR + QTR + TRQ) `=` 180^@`
`/_TQR +130^@ +30^@` = `180^@`
`TQR = 20^@`

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