JAMB Mathematics 2010 Question 28

Question 28

Triangles and Quadrilaterals

From the diagram above, find x.

Diagram for this question
  1. A.65°
  2. B.50°
  3. C.55°
  4. D.75°
Show the answer and explanation

Answer: A (65°)

Explanation

RS is a diameter, so ∠RTS = 90° and ∠RST = 180° − 90° − 25° = 65°. By the alternate segment theorem, the angle x between the tangent and chord TR equals ∠RST = 65°.