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JAMB Mathematics 1983 Question 26

Question 26

Circle Theorems

If O is the centre of the circle in the figure above, find the value of x.

Diagram for this question
  1. A.50
  2. B.260
  3. C.100
  4. D.65
  5. E.130.
Show the answer and explanation

Answer: C (100)

Explanation

The 130° angle at the circumference stands on the major arc, so the reflex angle at the centre is 260°. The angle x on the other side is 360° − 260° = 100°.