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

MATHEMATICS

WAEC 1995

A. 180°
B. 90°
C. 45°
D. a°

Correct Answer: A. 180°

Explanation

a + c + d - 180^o[sum of angles in triangle]

x = a[vertical opp. ?s]

y + x + d = 180^o[sum of ?s in a ?]

y + a + d = 180^o

y + a + d = a + c + d

y = c

but b + y = 180^o [sum of ?s on a straight line ]

b + c = 180^o; Ans = A = 180^o

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