Find the value of X- where AB CD A- 70-B- 45- 125-

The correct option is Since AB || CD, ∠ A + ∠ C = 180^∘ (co interior angles are supplementary) ∴ x= ∠ C = 180^∘ 110^∘ = 70^∘ Since AB || CD, ∠ B = ∠ C (al ...

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Standard IX

Mathematics

Parallel Lines with Transversal

Find the valu...

Question

Find the value of $x$ , where AB || CD

70^{\circ}

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45^{\circ}

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125^{\circ}

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Solution

Since AB || CD, $∠ A + ∠ C = 180^{\circ}$ (co-interior angles are supplementary)
$∴ x = ∠ C = 180^{\circ} - 110^{\circ} = 70^{\circ}$

Since AB || CD, $∠ B = ∠ C$ (alternate interior angles are equal)
$∴ x = ∠ C = 45^{\circ}$

Since AB || CD, $∠ B = ∠ D$ (corresponding angles)
$∴ x = ∠ D = 125^{\circ}$

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Find the value of x, where AB || CD

Since AB || CD, ∠A+∠C=180∘ (co-interior angles are supplementary) ∴x=∠C=180∘−110∘=70∘ Since AB || CD, ∠B=∠C (alternate interior angles are equal) ∴x=∠C=45∘ Since AB || CD, ∠B=∠D (corresponding angles) ∴x=∠D=125∘

Find the value of $x$ , where AB || CD