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JAMB Mathematics 1986 Question 37

Question 37

Circle Theorems

PQ and PR are tangents from P to a circle centre O as shown in the figure above. If QRP = 34°, find the angle marked x.

Diagram for this question
  1. A.34°
  2. B.56°
  3. C.68°
  4. D.112°.
Show the answer and explanation

Answer: C (68°)

Explanation

By the alternate segment theorem the angle QRP between the tangent and the chord equals the angle at the circumference on QR, 34°. The angle at the centre x is twice that: 68°.