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In this video, let's discuss the various types of angles formed by a remember, a transposon is a line

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that intersects two or more lines at distinct points.

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Over here we have in line in which is a transposon because it intersects Line Lynelle and Line M at

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distinct points.

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All right.

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Now over here we can see that eight angles are formed, right?

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Because of this transversal eight angles are formed and I have listed them down over here.

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All right.

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Now there are special names to given various types of angles.

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And later we will learn the properties related to those angles when these two lines are parallel.

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All right.

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Let's move on over here.

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Angle for angle three, angle five and angle six are on the interior side right there for these angles

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are called interior angles.

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We have four interior angles.

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That's three, four, five and six.

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All right.

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But don't studied using the numbers.

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Just visualize it.

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Read the name does not matter.

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It's just that they should be on the interior side.

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So these four angles, which are on the interior are called interior angles.

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All right, let's move on.

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Now, these angles are on the outside, right?

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Therefore, they are called exterior angles, but these four angles, that's one, two, eight and seven.

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These four angles are called exterior angles.

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All right.

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Because they are on the outside.

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Right.

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It's the opposite of interior angles.

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All right.

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Let's move on.

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The next that we study is about corresponding angles, for example, angle one and angle five, they

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are corresponding angles.

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Now, what do we mean with corresponding angles?

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Let's try to understand that next.

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So that's angle one and that's angle five now corresponding angles have to criteria's right there on

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the same side of one of the two lines and they are on the same side of the transversal.

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So we can visualize this to understand it better.

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So they are on the same side of the line.

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So you can see angle one is towards the upper side of line in an angle five is also towards the upper

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side.

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So they are on the same side of L and M.

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Similarly, both of them are towards the left of the transversal right.

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You will see that angle one and angle five are towards the left of the transversal.

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Therefore, angle one, angle five are called corresponding angles.

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So you can understand it using this, that they are on the same side of one of the two lines and on

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the same side of the transversal.

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All right, let me rub this over here and let's try to visualize all the corresponding angles.

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Right.

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So one in five are corresponding angles.

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Similarly, angle two angles six.

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They are also corresponding angles.

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Right.

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Both of them are on the right of the transversal and towards the top side.

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This one is also towards the right towards the top of the two and six are also corresponding angles.

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It's more on.

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Can you find any other corresponding angles?

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Yes.

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Right, you have three and seven, they are both on the right and towards the down part.

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So three and seven are corresponding angles.

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And similarly, four and eight are also responding angles.

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So there are four sets of corresponding angles.

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All right, let's move on.

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The next type of angle, this alternate interior angles, so interior angles, we know what interior

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angles are, these four angles are the interior angles.

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Now we need to dig alternating angles.

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That is angle three and angle five are on alternate sides of the transversal right.

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Therefore, angle three, an angle five are called alternate interior angles.

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Similarly, angle for angle six are also an alternate sides of the transverse.

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What do I mean with that angle for us towards the left of the translucent in an angle six is towards

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the right of the transposon, and so therefore three and five are called alternating angles and angles

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and are also called alternate interior angles.

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Let's move on.

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The next set of angles, this alternate exterior angles over here, also we know what exterior angles

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are.

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We have them over here one, two, seven and eight.

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These are the exterior angles.

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Now we need to take bear such that they are on alternate sides of the transversal to angle one and angle

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seven are alternate exterior angles.

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Right.

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Because one is towards the left and seven is towards the right of the transversal.

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Similarly, angle to an angle, eight are also alternate exterior angles.

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So these are the pairs of alternate exterior angles.

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It's more on.

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Now, what are the interior angles on the same side of the transversal?

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Over here we have interior angles on alternate sides.

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Similarly, the next set of angles is interior angles on the same side of the transversal.

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The both of these are indeed angles.

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Over here we have alternate sides.

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Over here, we have same side of the transversal.

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So you can see that angle three angles.

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Six are indeed at angles and both are on the right of the transversal.

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Similarly angle for an angle.

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Five are towards the left of the transversal and their interior angles.

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So this set of angles is also called contiguity, interior angles or other angles or core interior angles.

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All right.

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Now, don't worry about these terminologies.

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We will be keeping on using them again and again so that they become very well engrained in your memory.

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But remember, we have thought of it in a logical manner.

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Interior angles are towards the interior exterior angles are towards the exterior.

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We have seen corresponding angles are towards the same side of the transversal and either both are upwards

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or both or downwards or the two lines.

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Similarly, alternate interior angles are on alternate sides of the transversal and they are interior

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angles.

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Alternate exterior angles are exterior angles and they are on alternate sides of the transversal.

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And lastly, we have seen interior angles on the same side of the transversal already, or these are

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all the important angles that are made by a transversal and.

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In the next video, we will see.