P and Q are the middle points of two cho...

P and Q are the middle points of two chords (not diameters) AB and AC respectively of a circle with centre at a point O. The lines OP and OQ are produced to meet the circle respectively at the points R and S. T is any point on the major arc between the points R and S of the circle. If `angle BAC = 32^(@), angle RTS` = ?

`32^@`

`74^@`

`106^@`

`64^@`

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