In the given figure two parallel lines 1- m are intersected by a tranversal- If - 4-45- then - 3 and - 6 areA- 45- 135- 145- 35- 25- 155-D- 135- 45-

The correct option is D 135^∘, 45^∘ Given,l ∥ m and ∠ 4 = 45^∘ ∠ 3 + ∠ 4 = 180^∘ [Linear Pair] ⇒∠ 3 + 45^∘ = 180^∘ ⇒∠ 3 = 135^∘ Also, ∠ 4 = ∠ 6 [Interio ...

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Byju's Answer

Standard IX

Mathematics

Interior Angles Test

In the given ...

Question

In the given figure two parallel lines l,m are intersected by a tranversal. If $∠ 4 = 45^{\circ}$ then $∠ 3$ and $∠ 6$ are

$45^{\circ}, 135^{\circ}$

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$135^{\circ}, 45^{\circ}$

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$145^{\circ}, 35^{\circ}$

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$25^{\circ}, 155^{\circ}$

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Solution

The correct option is B
$135^{\circ}, 45^{\circ}$

Given, $l ∥ m$ and $∠ 4 = 45^{\circ}$

$∠ 3 + ∠ 4 = 180^{\circ}$ [Linear Pair]

$\Rightarrow ∠ 3 + 45^{\circ} = 180^{\circ}$

$\Rightarrow ∠ 3 = 135^{\circ}$

Also, $∠ 4 = ∠ 6$ [Interior alternate angles]
$∴ ∠ 6 = 45^{\circ}$

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In the given figure two parallel lines l,m are intersected by a tranversal. If ∠4=45∘ then ∠3 and ∠6 are

The correct option is B 135∘,45∘ Given,l∥m and ∠4=45∘ ∠3+∠4=180∘ [Linear Pair] ⇒∠3+45∘=180∘ ⇒∠3=135∘ Also, ∠4=∠6 [Interior alternate angles] ∴∠6=45∘

In the given figure two parallel lines l,m are intersected by a tranversal. If $∠ 4 = 45^{\circ}$ then $∠ 3$ and $∠ 6$ are

The correct option is B
$135^{\circ}, 45^{\circ}$

Given, $l ∥ m$ and $∠ 4 = 45^{\circ}$

$∠ 3 + ∠ 4 = 180^{\circ}$ [Linear Pair]

$\Rightarrow ∠ 3 + 45^{\circ} = 180^{\circ}$

$\Rightarrow ∠ 3 = 135^{\circ}$

Also, $∠ 4 = ∠ 6$ [Interior alternate angles]
$∴ ∠ 6 = 45^{\circ}$