In the diagram above, AB//CD. What is the size of the angle marked x?
Attached Figure / Diagram
A
103o
B
93o
C
77o
D
62o
E
52o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #23778)