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Find the value of x in the diagram

Mathematics
WAEC 2009

Find the value of x in the diagram
  • A. 50o
  • B. 30o
  • C. 22o
  • D. 17o
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Correct Answer: Option D
Explanation
Sum of exterior angles of a polygon = 360o

(x + 64) + 2x + (3x - 54) + 5x + 4x + 3x + (2x + 10) = 360o

20x + 20 = 360o

20x + 360 - 20 = 340o

x = \(\frac{340}{20}\)

x = 17o

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