Mathematics

In the diagram above, AB//CD. 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.
    103o
  • B.
    93o
  • C.
    77o
  • D.
    62o
  • E.
    52o
Correct Answer: Option B
Explanation

a = 52o [vertical opp. ∠s are equal]
a = b = 52o [Alternate ∠s]
b = c = 52o [vertical opp ∠s]
c + x + 35o = 180o [sum of angles in a triangle]
52o + x + 35o = 180o
x + 87o = 180o
x = 180o – 87o = 93o