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In the diagram above, the value of angles b + c is

Mathematics
WAEC 1995

In the diagram above, the value of angles b + c is

  • A. 180o
  • B. 90o
  • C. 45o
  • D. ao
  • E. do
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Correct Answer: Option A
Explanation

a + c + d = 180o[sum of angles in triangle]
x = a[vertical opp. ∠s]
y + x + d = 180o[sum of ∠s in a Δ]
y + a + d = 180o
y + a + d = a + c + d
y = c
but b + y = 180o [sum of ∠s on a straight line ]
b + c = 180o; Ans = A = 180o


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