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Step-by-step explanation:
to prove: angle QTR = 1/2 angle QPR
proof: angle TRS = angle TQR+ angle QTR
( exterior angle of the triangle equal to the sum of the two interior angle)
angle QTR= angle TRS - angle TQR...1
angle SRP = angle QPR+ angle PQR
2 angle TRS= angle QPR+2angle TQR
( TR is a bisector of angle SRP&QT is a bisector of angle PQR)
angle QPR= 2angle TRS - 2angle TQR
angle QPR = 2(angle TRS - angle TQR
1/2angle QPR= angle TRS - angle TOR .....2
from 1&2
angle QTR= 1/2 angle QPR
Hence proved
hope it helps you
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