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Let's do this question in the following figure, FBI is parallel to B.C. Is Baladi an experiment to

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E.T.?

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We need to find the value of X over here, pause the video, give it a try, and then let's do it together.

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All right.

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We're back.

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I hope you've given it a try.

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Let's mark the information that is given to us.

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We know these three lines are parallel, right?

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Because it's mentioned over here and we know Acey is parallel to E.T. It's given over here.

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All right.

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Now in Triangle ABC, we have two anchors.

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That's 52 degrees over here and sixty four degrees over here.

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Therefore, we can say that angle C is equal to 180 minus fifty two plus sixty four.

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That's equal to sixty for what we have found.

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Angle C now angle one and Anglesey are equal.

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Right, because he is parallel to ABC and AC is acting as the transversal.

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Therefore Angle one and Anglesey are alternate interior angles and hence they are equal.

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And we have found that angle C is equal to sixty four degrees over here.

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All right.

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Now angle one plus angle X will give you 180 degrees because over here you have AC parallel to you deep

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and is acting as the transversal.

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So these are consecutive interior angles and we know that they add up to 180 degree.

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So angle one plus angle X is equal to 180 degrees.

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And over here we see that angle one is equal to angles.

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So this is sixty four degrees, right.

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So sixty four plus X is 180 or X is 180 minus sixty four.

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That gives you one one six degrees.