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Find the value of x in the diagram

Mathematics
WAEC 2007

Find the value of x in the diagram

  • A. 281o
  • B. 269o
  • C. 201o
  • D. 179o
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Correct Answer: Option A
Explanation

From the diagram above, a = 180º - 85º - 45º = 50º ( sum of <s on a straight line)

b = 50º( vertically opp. <s)

85º = c + 34º ( corresponding <s), so c = 85º - 34º = 51º

d = 180º - 50º - 51º = 79º ( sum of <s in a triangle)

x = 360º - 79º = 281º ( <s at a point)


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