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In the diagram above, AB, CD and XY are straight lines intersecting at W. Find…

In the diagram above, AB, CD and XY are straight lines intersecting at W. Find ∠CWX

A.
20^o
B.
80^o
C.
100^o
D.
120^o
E.
140^o

Correct Answer: Option B

Explanation

a = 40^o (vertical opp. ∠s are equal) b = 60^o
a + b + c = 180^o (sum of ∠s on a str line)
40^o + 60^o + c = 180^o
C = 180^o – 100^o
C = 80^o