NABTEB Mathematics 2022 Objective — Question 35

Question 35 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

The diagram shows triangle PQR inscribed in a circle. PS is a tangent to the circle at P. Find angle PRQ.

• A. 49 degreesCorrect
• B. 58 degrees
• C. 73 degrees
• D. 131 degrees

Explanation

angle PQR = angle SPR = 73 degrees (angle between a tangent and a chord equals the angle in the alternate segment). In triangle PQR: PQR+RPQ+PRQ=180: 73+58+PRQ=180, so PRQ=49 degrees.

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