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 Form 3 Mathematics Angle Properties of a Circle Questions and Answers

In the figure below, PQR is the tangent to the circle at Q. TS is a diameter and TSR and QUV are straight lines. QS is parallel to TV. Angle SQR=#40^0# and angle TQV=#55^0#. Find the following angles, giving reasons for each answer:
figcircle1742020938.JPG
(a) QTS
(b) QRS
(c) QVT
(d) UTV

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