Let's do this question in the following figure, FBI is parallel to B.C. Is Baladi an experiment to
E.T.?
We need to find the value of X over here, pause the video, give it a try, and then let's do it together.
All right.
We're back.
I hope you've given it a try.
Let's mark the information that is given to us.
We know these three lines are parallel, right?
Because it's mentioned over here and we know Acey is parallel to E.T. It's given over here.
All right.
Now in Triangle ABC, we have two anchors.
That's 52 degrees over here and sixty four degrees over here.
Therefore, we can say that angle C is equal to 180 minus fifty two plus sixty four.
That's equal to sixty for what we have found.
Angle C now angle one and Anglesey are equal.
Right, because he is parallel to ABC and AC is acting as the transversal.
Therefore Angle one and Anglesey are alternate interior angles and hence they are equal.
And we have found that angle C is equal to sixty four degrees over here.
All right.
Now angle one plus angle X will give you 180 degrees because over here you have AC parallel to you deep
and is acting as the transversal.
So these are consecutive interior angles and we know that they add up to 180 degree.
So angle one plus angle X is equal to 180 degrees.
And over here we see that angle one is equal to angles.
So this is sixty four degrees, right.
So sixty four plus X is 180 or X is 180 minus sixty four.
That gives you one one six degrees.