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JAMB Mathematics 1984 Question 32

Question 32

Angles and Polygons

In the figure above PQRSTW is a regular hexagon. QS intersects RT at V. Calculate TVS.

Diagram for this question
  1. A.60°
  2. B.90°
  3. C.120°
  4. D.30°
  5. E.80°.
Show the answer and explanation

Answer: A (60°)

Explanation

Each interior angle is 120°. Triangles QRS and RST are isosceles, so <RSQ = <SRT = 30°. Then <RVS = 120° and <TVS = 180° − 120° = 60°.