winterbear626 winterbear626

25-02-2022
Mathematics

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The PQR of the image is a straight line. PQ = QS = QR. Find the magnitude of P^SR in degrees.

The PQR of the image is a straight line PQ QS QR Find the magnitude of PSR in degrees class=

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yashushq yashushq

25-02-2022

Answer:

In ΔPQR, we have

PQ=PR⇒∠R=∠Q

Now, ST∥QR.

⇒∠PST=∠PQR and ∠PTS=∠PRQ [∵ Corresponding angles are equal]

⇒∠PST=∠Q and ∠PTS=∠R

⇒∠PST=∠PTS

⇒PT=PS

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