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

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