Find the size of the angle marked x in the diagram.
MATHEMATICS
WAEC 2011
Find the size of the angle marked x in the diagram.
- A. 108°
- B. 112°
- C. 128°
- D. 142°
Correct Answer: C. 128°
Explanation
x + 52o = 90
x = 90 - 52
x = 38o
k = opposite angle Z
k = 38o
y + k = 90o
y + 38o = 90o
y = 90o - 38o
y = 52o
y = x = 180o(sum of angles on straight line)
52 + x = 180o
x = 180 - 52
x = 128
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