Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

Q, R, S and T lie on a circle with centre O. The line UV is tangent to the circle at T. S, O, Q and V lie on one straight line. Angle QST = 32^{\circ}.
(a)[2]

Determine angle QRT. Give a geometrical reason for your answer.

(b)[2]

Determine angle TQS.

(c)[2]

Determine angle TVQ.

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