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Guys so in this particular lesson. We are going to be looking at finding the the angle x. In this particular diagram.

You can see that this is where x located. The ax nice to find it giving us. Only 48.

Now lets look at the diagram and then analyze it we have q. Pp line qp have been true arrows this. But one line is the only line having true arrows apart from line acuity.

Which is tr. So we have two arrows here. We have two orosi maybe check you are we have three arrows.

If you check as you line su.

We have three arrows now what this means is that line qp is parallel to line tr. And then lying qr is a super outline as you now anytime you have two parallel lines. You paralyzed paralyzed.

This one is going back and forth. So it means. That is just a straight line going this just also a straight line going.

If there is a line bisecting these two power lines. Then the angle. That this line will make with the first one is also equals to the angle.

That is going to make with the second one we call this out little angles. So this particular angle. He is going to be equals this particular angle.

Here because this is a power line and it is having a very straight line that is bisecting the true power lines at once and so we can say that angle pqr.

Which is 48 p. Q. R angle pqr which is equals to 48 degrees is equal to angle q r t.

All right so now here we can simply say that e is what 48 degrees. Because knitting angles are equal all right good now we are to find x. But theres nothing here for us to find x with so what else can we do if we you look at the diagram.

Very well you would realize that since this particular line is also parallel to this we have three arrows three arrows. They are showing us that these two lines are parallel and this line is also bisecting going through the the two parallel lines. We call this also out knitting angles are also known as zet angles.

We have the zetz angle. Here that angle from q. To r.

R.

2. T. And then tteyuu forms assets.

As far. As the first the top line here in the down line here are parallel. Then we can say that for t.

Its this particular angle is alternating to this particular angle. All right so this is alternate into this and alternating angles are equal. So.

We consider q. Rg q. Rg.

It goes to 48 degrees.

All right. Which is equals to this particular angle is of course this su is equals to energy you healthy you all right so. We can say that he is also 48 degrees.

Now to find our x. We can finally simply do that because we know that angles on a straight line angles on a straight line is sum up to 180. Therefore.

We can see at x. And photogate a line on the straight line. So therefore when you sum them please be host through 180.

So we can simply say that x plus 48 degrees as a cost 180 degrees. Then we can say that 180 degrees minus 48 degrees. Then what is equals to one straight.

So we can simply move up and then say this .

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