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

Mathematics
JAMB 1984

In the figure, PQRSTW is a regular hexagon. QS intersects RT at V. Calculate TVS
  • A. 60o
  • B. 90o
  • C. 120o
  • D. 30o
  • E. 80o
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Correct Answer: Option A
Explanation
From the diagram, PQRSTW is a regular hexagon.

Hexagon is a six sided polygon.

Sum of interior angles of polygon = (2n - 4)90o = [2 x 6 - 4] x 90 = 8 x 90 = 720o

each angle = \(\frac{720^o}{6} = 120^o\) and TVS = \(\frac{120}{2} = 60^o\)

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