The following diagram shows parallel lines cut by a transversal. Find $x .$

$90^{\circ}$

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$50^{\circ}$

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$40^{\circ}$

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$60^{\circ}$

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Solution

The correct option is D
$60^{\circ}$

In the above figure, since, the two lines are parallel and cut by a transversal, using the property of corresponding angles:

$\Rightarrow 2 x - 60^{\circ} = x$

$\Rightarrow x - 60^{\circ} = 0$

$\Rightarrow x = 60^{\circ}$

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The following diagram shows parallel lines cut by a transversal. Find x.

The correct option is D 60∘ In the above figure, since, the two lines are parallel and cut by a transversal, using the property of corresponding angles: ⇒2x−60∘=x ⇒x−60∘=0 ⇒x=60∘

The following diagram shows parallel lines cut by a transversal. Find $x .$

The correct option is D
$60^{\circ}$

In the above figure, since, the two lines are parallel and cut by a transversal, using the property of corresponding angles:

$\Rightarrow 2 x - 60^{\circ} = x$

$\Rightarrow x - 60^{\circ} = 0$

$\Rightarrow x = 60^{\circ}$