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In the diagram above the value of angles b c is - WAEC Mathematics 1995 Question

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

A
180o
B
90o
C
45o
D
ao
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Correct Option: A

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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