In the diagram below, AB//CD. What is the size of the angle marked x?...

MATHEMATICS

WAEC 1995

In the diagram below, AB//CD. What is the size of the angle marked x?

A. 103°
B. 93°
C. 77°
D. 62°

Correct Answer: B. 93°

Explanation

a = 52^o [vertical opp. ?s are equal]

a = b = 52^o [Alternate ?s]

b = c = 52^o [vertical opp ?s]

c + x + 35^o = 180^o [sum of angles in a triangle]

52^o + x + 35^o = 180^o

x + 87^o = 180^o

x = 180^o - 87^o = 93^o

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