JAMB Mathematics 2010 Question 30

Question 30

Circle Theorems

From the cyclic quadrilateral TUVW above, find the value of x.

Diagram for this question
  1. A.23°
  2. B.26°
  3. C.24°
  4. D.20°
Show the answer and explanation

Answer: C (24°)

Explanation

Opposite angles of a cyclic quadrilateral add to 180°: 3x + 20 + 88 = 180, so 3x = 72 and x = 24°.