In the diagram above: What is the size of the angle marked x?

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

• A. 103^o
• B. 93^o
• C. 77^o
• D. 62^o
• E. 52^o

Correct Answer: Option B

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