In the given figure, S and T are points on sides PR and QR of `Delta PQR` such that `angle P= angle RTS`. Show that `Delta RPQ~ Delta RTS`.

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GIVEN `Delta RPQ and Delta RTS` in which `angle P= angle RTS`.
TO PROVE `Delta RPQ~ Delta RTS`.
PROOF In `Delta RPQ and Delta RTS`.
PROOF In `Delta RPQ and Delta RTS`, we have
`angle P= angle RTS` (given)
`angle R= angle R` (common)
`:. Delta RPQ~ Delta RTS` [ by AA-similarity]