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

2a + b = 180°

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a + b = 180°

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a - b = 180°

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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,
$∠ E J D + ∠ C K G = 180^{o}$ [Co-interior angles are supplementary]

$\Rightarrow b + a = 180^{o}$ [Given: ∠CKG = a]
Hence, the required relation is $a + b = 180^{o}$

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