Let's do this question in the figure U.S. is perpendicular to P, R and R, T is perpendicular to be
cute and US is equal to Arpit.
All right, now we need to find weather and trying to QSR is congruently triangle Arcudi.
Right.
And we need to find reasons for that.
And then we have one more question.
Is angle peak.
You are equal to angle paku already all the video thing about this on your own and then let's do it
together.
All right, we're back.
Let's do it together.
We'll start with the first section of the question we have to check with the triangle, QSR and Triangle
articular are congruent.
Let's check that.
Let's draw these two triangles.
We have Artec you over here and QSR are here.
All right.
Now these two triangles we can see over here are right angled triangles.
Right.
It's given that you see this perpendicular to be are so is perpendicular to PIA.
That means this angle over here is the right angle.
That's the meaning of perpendicular lines.
We will see more of that in the following sections in this course.
All right.
And it's given Arty's perpendicular to Arties is perpendicular to Q, that means this angle over here
is a ninety degree angle.
So we have angles and Angliss are ninety degree angles.
And it's also given that to us is equal to our T.
Right.
So we have Q s that's to us over here and R t over here.
These two sides are giving us equal and we can see over here in these two triangles.
Q is a common sight read.
Let me read that over here you are is a common site.
But they will be equal, AQR is equal to argue.
So these two sides are also equal.
Therefore, as per hour, it's just congruency rule.
Right, right.
Angle, hypotenuse and aside, these two triangles are congruent.
All right.
So that's the answer to the first part of the question.
And we need to find whether and we'll pick you.
Are we?
You are.
That's this angle over here, whether that is equal to angle B or Q, which is this angle over here.
All right.
Now you can see that angle p you are is equal to angle Deek.
You are right.
Why is that so that's because geometrically you can see that it's talking about the same angle.
It's just a different name of the same angle which is angle pick you up b q so this angle over here
is angle pick you up.
What about angle.
You are.
It's the same angle D.
Q Are you get the same angle.
Right.
So it's just different names of the same angle.
Similarly angle p r Q is equal to endless argue.
We argue that's this angle over here and Sakiewicz is are.
Q That's the same angle over here.
So these are just different names of the same angle.
All right.
Now, because these two triangles are congruent, we can see that angle, Arcudi is equal to angle curious
because they are corresponding angles, right to Angle Arcudi.
That's this angle.
It's equal to angle you are as you are.
That's this angle because these two are equal.
Therefore angle Piku are will be equal to angle B are you.
And the second answer is yes.
These two are equal.