hi. guys
it's urgent
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sorry for cut it is right proving
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∠QTR = (1/2) ∠QPR
Step-by-step explanation:
in Δ PQR
∠PRS = ∠PQR + ∠QPR ( External angle of Triangle = Sum of two opposite angles)
in Δ QTR
∠TRS = ∠TQR + ∠QTR
Multiplying by 2
2∠TRS = 2∠TQR + 2∠QTR
RT is bisector of ∠PRS
=> 2∠TRS = ∠PRS
QT is bisector of ∠PQR
=> 2∠TQR = ∠PQR
=> ∠PRS = ∠PQR + 2∠QTR
∠PRS = ∠PQR + ∠QPR
Equating both
∠PQR + 2∠QTR = ∠PQR + ∠QPR
=> 2∠QTR = ∠QPR
=> ∠QTR = (1/2) ∠QPR
QED
Proved
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