Find the size of the angle marked x in the diagram.

Find the size of the angle marked x in the diagram.

Correct Answer: Option C

Explanation

x + 52^o = 90
x = 90 – 52
x = 38^o
k = opposite angle Z
k = 38^o
y + k = 90^o
y + 38^o = 90^o
y = 90^o – 38^o
y = 52^o
y = x = 180^o(sum of angles on straight line)
52 + x = 180^o
x = 180 – 52
x = 128