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Find the size of the angle marked x in the diagram.

Mathematics
WAEC 2011

Find the size of the angle marked x in the diagram.
  • A. 108o
  • B. 112o
  • C. 128o
  • D. 142o
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Correct Answer: Option C
Explanation
x + 52o = 90

x = 90 - 52

x = 38o

k = opposite angle Z

k = 38o

y + k = 90o

y + 38o = 90o

y = 90o - 38o

y = 52o

y = x = 180o(sum of angles on straight line)

52 + x = 180o

x = 180 - 52

x = 128

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