PQRS is a parallelogram. T is the mid-point of PQ and ST bisects &ang;PSR.Prove that: RT bisects angle R

Since QT = QR&ang;QTR = &ang;QRTBut &ang;QTR = &ang;TRS ...(alternate angles ∵ SR || PQ)⇒ &ang;QRT = &ang;TRSTherefore, RT bisects &ang;R.

English

Pqrs is a Parallelogram. T is the Mid-point of Pq and St Bisects ∠Psr.Prove That: Rt Bisects Angle R

PQRS is a parallelogram. T is the mid-point of PQ and ST bisects ∠PSR.

Prove that: RT bisects angle R

Sum

Since QT = QR
∠QTR = ∠QRT
But ∠QTR = ∠TRS ...(alternate angles ∵ SR || PQ)
⇒ ∠QRT = ∠TRS
Therefore, RT bisects ∠R.

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