GCE Mathematics 2024 Objective — Question 45

Question 45 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

In the diagram, TU is a tangent to circle SPQR at P. If ∠PTS=44° and ∠SQP=35°, find ∠PST.

• A. A. 125°
• B. B. 130°
• C. C. 135°Correct
• D. D. 180°

Explanation

Using the tangent-chord angle theorem together with the cyclic quadrilateral property of SPQR, ∠PST works out to 135°.

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