In the given figure b and c d- If - 1-75- what is the measure of - 3 -B -150-C- 75-D- 100-

The correct option is A 105^∘ Given a || b and c || d and ∠ 1 = 75^∘ Since, a || b, ∠ 1 = ∠ 2 Also c || d, ⇒∠ 2 + ∠ 3 = 180^∘ [sum of co interior angles i ...

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Standard VII

Mathematics

Transversal of Parallel Lines

In the given ...

Question

In the given figure, a || b and c || d. If $∠ 1 = 75^{\circ}$ , what is the measure of $∠ 3$ ?

105^{\circ}

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150^{\circ}

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75^{\circ}

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100^{\circ}

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Solution

The correct option is A $105^{\circ}$

Given a || b and c || d and $∠ 1 = 75^{\circ}$
Since, a || b,
$∠ 1 = ∠ 2$

Also c || d,
$\Rightarrow ∠ 2 + ∠ 3 = 180^{\circ} [sum of co-interior angles is 180]$
$∴ ∠ 3 = 105^{\circ}$

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In the given figure, a || b and c || d. If ∠1=75∘, what is the measure of ∠3?

The correct option is A 105∘ Given a || b and c || d and ∠1=75∘ Since, a || b, ∠1=∠2 Also c || d, ⇒∠2+∠3=180∘ [sum of co-interior angles is 180] ∴∠3=105∘

In the given figure, a || b and c || d. If $∠ 1 = 75^{\circ}$ , what is the measure of $∠ 3$ ?

The correct option is A $105^{\circ}$

Given a || b and c || d and $∠ 1 = 75^{\circ}$
Since, a || b,
$∠ 1 = ∠ 2$

Also c || d,
$\Rightarrow ∠ 2 + ∠ 3 = 180^{\circ} [sum of co-interior angles is 180]$
$∴ ∠ 3 = 105^{\circ}$