The two lines are parallel and are cut by a transversal. Find the value of x.

17°

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34°

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57°

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74°

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Solution

The correct option is A 17°
Since the lines are parallel, they form alternate interior angles.
Then, (4x-10)° = 58° (alternate interior angles are equal )
$\Rightarrow$ 4x = 68°
$\Rightarrow$ x = 17°

Hence the value of x is 17°.

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The two lines are parallel and are cut by a transversal. Find the value of x.

The correct option is A 17° Since the lines are parallel, they form alternate interior angles. Then, (4x-10)° = 58° (alternate interior angles are equal ) ⇒ 4x = 68° ⇒ x = 17° Hence the value of x is 17°.

The correct option is A 17°
Since the lines are parallel, they form alternate interior angles.
Then, (4x-10)° = 58° (alternate interior angles are equal )
$\Rightarrow$ 4x = 68°
$\Rightarrow$ x = 17°

Hence the value of x is 17°.