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Let's do this question in the figure U.S. is perpendicular to P, R and R, T is perpendicular to be

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cute and US is equal to Arpit.

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All right, now we need to find weather and trying to QSR is congruently triangle Arcudi.

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Right.

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And we need to find reasons for that.

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And then we have one more question.

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Is angle peak.

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You are equal to angle paku already all the video thing about this on your own and then let's do it

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together.

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All right, we're back.

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Let's do it together.

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We'll start with the first section of the question we have to check with the triangle, QSR and Triangle

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articular are congruent.

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Let's check that.

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Let's draw these two triangles.

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We have Artec you over here and QSR are here.

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All right.

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Now these two triangles we can see over here are right angled triangles.

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Right.

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It's given that you see this perpendicular to be are so is perpendicular to PIA.

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That means this angle over here is the right angle.

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That's the meaning of perpendicular lines.

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We will see more of that in the following sections in this course.

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All right.

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And it's given Arty's perpendicular to Arties is perpendicular to Q, that means this angle over here

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is a ninety degree angle.

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So we have angles and Angliss are ninety degree angles.

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And it's also given that to us is equal to our T.

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Right.

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So we have Q s that's to us over here and R t over here.

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These two sides are giving us equal and we can see over here in these two triangles.

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Q is a common sight read.

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Let me read that over here you are is a common site.

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But they will be equal, AQR is equal to argue.

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So these two sides are also equal.

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Therefore, as per hour, it's just congruency rule.

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Right, right.

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Angle, hypotenuse and aside, these two triangles are congruent.

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All right.

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So that's the answer to the first part of the question.

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And we need to find whether and we'll pick you.

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Are we?

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You are.

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That's this angle over here, whether that is equal to angle B or Q, which is this angle over here.

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All right.

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Now you can see that angle p you are is equal to angle Deek.

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You are right.

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Why is that so that's because geometrically you can see that it's talking about the same angle.

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It's just a different name of the same angle which is angle pick you up b q so this angle over here

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is angle pick you up.

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What about angle.

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You are.

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It's the same angle D.

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Q Are you get the same angle.

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Right.

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So it's just different names of the same angle.

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Similarly angle p r Q is equal to endless argue.

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We argue that's this angle over here and Sakiewicz is are.

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Q That's the same angle over here.

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So these are just different names of the same angle.

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All right.

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Now, because these two triangles are congruent, we can see that angle, Arcudi is equal to angle curious

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because they are corresponding angles, right to Angle Arcudi.

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That's this angle.

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It's equal to angle you are as you are.

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That's this angle because these two are equal.

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Therefore angle Piku are will be equal to angle B are you.

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And the second answer is yes.

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These two are equal.