In this video, let's discuss the various types of angles formed by a remember, a transposon is a line
that intersects two or more lines at distinct points.
Over here we have in line in which is a transposon because it intersects Line Lynelle and Line M at
distinct points.
All right.
Now over here we can see that eight angles are formed, right?
Because of this transversal eight angles are formed and I have listed them down over here.
All right.
Now there are special names to given various types of angles.
And later we will learn the properties related to those angles when these two lines are parallel.
All right.
Let's move on over here.
Angle for angle three, angle five and angle six are on the interior side right there for these angles
are called interior angles.
We have four interior angles.
That's three, four, five and six.
All right.
But don't studied using the numbers.
Just visualize it.
Read the name does not matter.
It's just that they should be on the interior side.
So these four angles, which are on the interior are called interior angles.
All right, let's move on.
Now, these angles are on the outside, right?
Therefore, they are called exterior angles, but these four angles, that's one, two, eight and seven.
These four angles are called exterior angles.
All right.
Because they are on the outside.
Right.
It's the opposite of interior angles.
All right.
Let's move on.
The next that we study is about corresponding angles, for example, angle one and angle five, they
are corresponding angles.
Now, what do we mean with corresponding angles?
Let's try to understand that next.
So that's angle one and that's angle five now corresponding angles have to criteria's right there on
the same side of one of the two lines and they are on the same side of the transversal.
So we can visualize this to understand it better.
So they are on the same side of the line.
So you can see angle one is towards the upper side of line in an angle five is also towards the upper
side.
So they are on the same side of L and M.
Similarly, both of them are towards the left of the transversal right.
You will see that angle one and angle five are towards the left of the transversal.
Therefore, angle one, angle five are called corresponding angles.
So you can understand it using this, that they are on the same side of one of the two lines and on
the same side of the transversal.
All right, let me rub this over here and let's try to visualize all the corresponding angles.
Right.
So one in five are corresponding angles.
Similarly, angle two angles six.
They are also corresponding angles.
Right.
Both of them are on the right of the transversal and towards the top side.
This one is also towards the right towards the top of the two and six are also corresponding angles.
It's more on.
Can you find any other corresponding angles?
Yes.
Right, you have three and seven, they are both on the right and towards the down part.
So three and seven are corresponding angles.
And similarly, four and eight are also responding angles.
So there are four sets of corresponding angles.
All right, let's move on.
The next type of angle, this alternate interior angles, so interior angles, we know what interior
angles are, these four angles are the interior angles.
Now we need to dig alternating angles.
That is angle three and angle five are on alternate sides of the transversal right.
Therefore, angle three, an angle five are called alternate interior angles.
Similarly, angle for angle six are also an alternate sides of the transverse.
What do I mean with that angle for us towards the left of the translucent in an angle six is towards
the right of the transposon, and so therefore three and five are called alternating angles and angles
and are also called alternate interior angles.
Let's move on.
The next set of angles, this alternate exterior angles over here, also we know what exterior angles
are.
We have them over here one, two, seven and eight.
These are the exterior angles.
Now we need to take bear such that they are on alternate sides of the transversal to angle one and angle
seven are alternate exterior angles.
Right.
Because one is towards the left and seven is towards the right of the transversal.
Similarly, angle to an angle, eight are also alternate exterior angles.
So these are the pairs of alternate exterior angles.
It's more on.
Now, what are the interior angles on the same side of the transversal?
Over here we have interior angles on alternate sides.
Similarly, the next set of angles is interior angles on the same side of the transversal.
The both of these are indeed angles.
Over here we have alternate sides.
Over here, we have same side of the transversal.
So you can see that angle three angles.
Six are indeed at angles and both are on the right of the transversal.
Similarly angle for an angle.
Five are towards the left of the transversal and their interior angles.
So this set of angles is also called contiguity, interior angles or other angles or core interior angles.
All right.
Now, don't worry about these terminologies.
We will be keeping on using them again and again so that they become very well engrained in your memory.
But remember, we have thought of it in a logical manner.
Interior angles are towards the interior exterior angles are towards the exterior.
We have seen corresponding angles are towards the same side of the transversal and either both are upwards
or both or downwards or the two lines.
Similarly, alternate interior angles are on alternate sides of the transversal and they are interior
angles.
Alternate exterior angles are exterior angles and they are on alternate sides of the transversal.
And lastly, we have seen interior angles on the same side of the transversal already, or these are
all the important angles that are made by a transversal and.
In the next video, we will see.