Question

In the given figure ,PT touches the circle with centre O at point R.Diameter SQis produced to meet the tangent TR at P.
given <SPR=x°and <QRP=y°;
prove that :
(i)<ORS=y°
(ii)write an expression connecting x and y

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Answer 1

∠QRP = ∠OSR = y (angles in alternate segment) But OS = OR (Radii of the same circle) the-given-figure-touches-the-circle-with-centre-point-diameter-produced-meet-the-tangent