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Determine the value of m in the diagram

Mathematics
WAEC 2014

Determine the value of m in the diagram

  • A. 80o
  • B. 90o
  • C. 110o
  • D. 150o
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Correct Answer: Option B
Explanation

In the figure above, a + 80º = 180º ( opp <s of cyclic quad.)

a = 100º

b1 = b2 (base <s of Isos. triangle)

b1 + b2 = 2b1

2b1 + a = 180

2b1 + 100º = 180º

b1 = 40º

In the same vain, 2c1 = 180º - 80º = 100º

c1 = 50º

Thus, m = b1 + c1 = 40º + 50º = 90º


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