In the diagram above AB CD What is the size of ... - WAEC Mathematics 1995 Question
In the diagram above, AB//CD. What is the size of the angle marked x?
A
103o
B
93o
C
77o
D
62o
correct option: b
a = 52o [vertical opp. ∠s are equal]
a = b = 52o [Alternate ∠s]
b = c = 52o [vertical opp ∠s]
c + x + 35o = 180o [sum of angles in a triangle]
52o + x + 35o = 180o
x + 87o = 180o
x = 180o - 87o = 93o
a = b = 52o [Alternate ∠s]
b = c = 52o [vertical opp ∠s]
c + x + 35o = 180o [sum of angles in a triangle]
52o + x + 35o = 180o
x + 87o = 180o
x = 180o - 87o = 93o
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