In the given figure, the lines AB and CD are parallel and EF is the transversal which cuts AB and CD at G and H respectively. Which among the following options are correct about the given angles?

∠5 = ∠8 and ∠2=∠6

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∠1 = ∠3 and ∠4=∠8

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∠5 = ∠8 and ∠4=∠8

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∠1 = ∠3 and ∠5=∠6

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Solution

The correct option is B ∠1 = ∠3 and ∠4=∠8
In the given figure, AB || CD and EF is the transversal.

$∴$ ∠4 = ∠8 (corresponding angles)
$∴$ ∠2 = ∠6 (corresponding angles)

$∴$ ∠1 = ∠3 (vertically opposite angles)
$∴$ ∠5=∠7 (vertically opposite angles)

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​ In the given figure, the lines AB and CD are parallel and EF is the transversal which cuts AB and CD at G and H respectively. Which among the following options are correct about the given angles? ​ ​ ​ ​

The correct option is B ∠1 = ∠3 and ∠4=∠8In the given figure, AB || CD and EF is the transversal. ∴ ∠4 = ∠8 (corresponding angles) ∴ ∠2 = ∠6 (corresponding angles) ∴ ∠1 = ∠3 (vertically opposite angles) ∴∠5=∠7 (vertically opposite angles)

In the given figure, the lines AB and CD are parallel and EF is the transversal which cuts AB and CD at G and H respectively. Which among the following options are correct about the given angles?

The correct option is B ∠1 = ∠3 and ∠4=∠8
In the given figure, AB || CD and EF is the transversal.

$∴$ ∠4 = ∠8 (corresponding angles)
$∴$ ∠2 = ∠6 (corresponding angles)

$∴$ ∠1 = ∠3 (vertically opposite angles)
$∴$ ∠5=∠7 (vertically opposite angles)