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JAMB Mathematics 2006 Question 34

Question 34

Angles and Polygons

PQRSTW is a regular hexagon and QS intersects RT at V. Calculate ∠TVS.

  1. A.120°
  2. B.90°
  3. C.30°
  4. D.60°
Show the answer and explanation

Answer: D (60°)

Explanation

Each interior angle is 120°. Triangles QRS and RST are isosceles, so ∠RSQ = ∠STR = 30°. Then ∠VST = 120° − 30° = 90° and ∠TVS = 180° − 90° − 30° = 60°.