In the given figure, PS/SQ = PT/TR and ∠ PST = ∠ PRQ. Prove that PQR is an isosceles triangle. Don't spam plz !

In the given figure, PS/SQ = PT/TR and ∠ PST = ∠ PRQ. Prove that P

1.	In the given figure, PS/SQ = PT/TR and ∠ PST = ∠ PRQ. Prove that PQR is an isosceles triangle. Don't spam plz !
Answer» ANSWERWe have, SQPS = TRPT ⇒ ST∣∣QR [By USING the CONVERSE of BASIC Proportionality Theorem]⇒ ∠PST=∠PQR [Corresponding angles]⇒ ∠PRQ=∠PQR [∵∠PST=∠PRQ (GIVEN)] ⇒ PQ=PR [∵ Sides opposite to equal angles are equal]⇒ △PQR is isoscele

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In the given figure, PS/SQ = PT/TR and ∠ PST = ∠ PRQ. Prove that PQR is an isosceles triangle. Don't spam plz ! ​

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In the given figure, PS/SQ = PT/TR and ∠ PST = ∠ PRQ. Prove that PQR is an isosceles triangle. Don't spam plz !