Let's do this question, find X and Y in this figure was the video, give it a try and then let's do
it together.
All right.
We are back.
I hope you have given it a try.
You can see that over here.
Angle White is an external angle of triangle ABC right now by the external angle property.
We know that Angle White is equal to angle B plus angle seat.
Right.
And remember, Angle was formed by extending side.
Maybe that's why it's an external angle.
All right.
Therefore, we know Angle B is equal to 60 degree angle equal.
Forty five degrees.
So that's 60 plus forty five, which is equal to one hundred and five degrees.
So we have found angle way and we just need to find angle.
All right.
Now Angle B A B plus angle the A, C plus angle Y.
If you add these three angles you will get 180 degrees.
Why is that so it's because it's forming a straight angle.
Right.
And we know a straight angle forms 180 degrees.
So 30 plus angle DSC plus one zero five is equal to 180 degrees.
Therefore angle the AC is equal to 45 degrees and angle the AC is what we have over here now in Triangle
ABC, you can see that angle, the AC plus X plus forty five is equal to 180 degrees because it forms
a triangle.
Right.
And we have found that this is equal to forty five.
So X is equal to 180 minus forty five, minus forty five which is equal to ninety degrees.
And that is your answer.