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

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प्रश्न

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

Prove that: RT bisects angle R

बेरीज

उत्तर


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

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पाठ 19: Quadrilaterals - Exercise 19.1

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फ्रँक Mathematics [English] Class 9 ICSE
पाठ 19 Quadrilaterals
Exercise 19.1 | Q 8.2
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