Find the size of the angle marked x in the diagram.
Attached Figure / Diagram
A
108o
B
112o
C
128o
D
142o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #36702)