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JAMB Mathematics 1983 Question 19

Question 19

Triangles and Quadrilaterals

The above figure FGHK is a rhombus. What is the value of angle x?

Diagram for this question
  1. A.90°
  2. B.30°
  3. C.150°
  4. D.120°
  5. E.60°.
Show the answer and explanation

Answer: D (120°)

Explanation

The diagonal KG bisects angle K, so angle K = 2 × 30° = 60°. Adjacent angles of a rhombus add to 180°, so x = 120°.