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Let's do this question, find X and Y in this figure was the video, give it a try and then let's do

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it together.

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All right.

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We are back.

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I hope you have given it a try.

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You can see that over here.

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Angle White is an external angle of triangle ABC right now by the external angle property.

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We know that Angle White is equal to angle B plus angle seat.

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Right.

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And remember, Angle was formed by extending side.

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Maybe that's why it's an external angle.

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All right.

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Therefore, we know Angle B is equal to 60 degree angle equal.

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Forty five degrees.

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So that's 60 plus forty five, which is equal to one hundred and five degrees.

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So we have found angle way and we just need to find angle.

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All right.

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Now Angle B A B plus angle the A, C plus angle Y.

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If you add these three angles you will get 180 degrees.

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Why is that so it's because it's forming a straight angle.

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Right.

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And we know a straight angle forms 180 degrees.

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So 30 plus angle DSC plus one zero five is equal to 180 degrees.

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Therefore angle the AC is equal to 45 degrees and angle the AC is what we have over here now in Triangle

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ABC, you can see that angle, the AC plus X plus forty five is equal to 180 degrees because it forms

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a triangle.

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Right.

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And we have found that this is equal to forty five.

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So X is equal to 180 minus forty five, minus forty five which is equal to ninety degrees.

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And that is your answer.