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Question

In the given figure, AB || CD and EF || GH. Find the relation between a and b.


A
2a + b = 180°
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B
a + b = 180°
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C
a - b = 180°
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D
a + 2b = 180°
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Solution

The correct option is B a + b = 180°
Since, AB || CD and EF is a transversal.
∠EIB = ∠EJD [Corresponding angles]
∠EJD = b [Given: ∠EIB = b]

Since, EF || GH and CD is a transversal,
EJD+CKG=180o [Co-interior angles are supplementary]

b+a=180o [Given: ∠CKG = a]
Hence, the required relation is a+b=180o

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