Pratique du Shadowing: GCSE Maths - Alternate, Corresponding and Allied Angles - Parallel Lines Angle Rules (2026/27 exams) - Apprendre l'anglais à l'oral avec la vidéo

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Thank you.
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In this video, we're going to cover how you can use the rules of alternate angles, corresponding angles, and allied angles.
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Importantly though, we only use these rules in one specific scenario.
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which is where we have two parallel lines running alongside each other like this, and then another line, which we can call a transversal, cutting through them both.
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Whenever this happens, we end up with two groups of angles.
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One here at the bottom, and another one here at the top.
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And there are four important points that you want to notice about these angles.
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The first is that both groups of angles are both exactly the same.
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For example, in this case, they both have a 120 degree, a 60 degree, another 120 degree, and another 60 degree angle.
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The second point is that each group only contains two different angles.
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In this case, 60 degree angles.
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and 120 degree angles.
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The third point is that the two different angles will always add up to 180 degrees.
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For example here, where our angles are 60 degrees and 120 degrees, These two add up to 180 degrees.
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And the last point is that vertically opposite angles are always the same.
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For example, these two 60 degree angles are considered vertically opposite which is why they're both 60 degrees.
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and likewise these two 120 degree angles are also vertically opposite.
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Now, as long as you properly understand all of these rules, You can use this knowledge to work out unknown angles if one of them is missing.
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For example, if we had to find this angle here, marked x.
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we'd be able to tell that it's 60 degrees.
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Either because it's opposite this 60 degree angle, and we know that vertically opposite angles are always equal,
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or because we know that it has to add to this 120 degrees to make 180.
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To help with more complicated questions though, there are three more rules that are worth memorizing.
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The first rule is that alternate angles are the same.
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And what I mean by alternate angles is the two angles found in the corners of a Z shape like this.
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For example, if we look at our diagram, we can see that the Z shape is here.
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even though it's been flipped around in this case.
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And so it's these two 60 -degree angles that we consider alternate angles.
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The second rule is pretty similar, but says that corresponding angles are the same.
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and corresponding angles are these two angles that you find in an F shape.
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For example, on our diagram, the F shape is here.
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So these two 60 degree angles are corresponding angles.
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The third rule is that allied angles add up to 180 degrees.
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and allied angles are just the interior angles of a C shape.
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So in this diagram, these two angles would add together to make 180 degrees.
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We also sometimes call these co -interior angles, or just interior angles.
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So just know that allied, co -interior and interior all mean the same thing here.
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If we look on our main diagram, we can see one of these C shapes here.
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So the allied angles would be this 60 degrees, and this is 120 degrees.
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which indeed do add together to make 180.
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One thing to point out with all of these rules is that you'll sometimes see them in other orientations.
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like flip it around, in which case they'll be harder to spot.
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But as long as they have the same combination of two parallel lines and one transversal, then the rules are going to be the same.
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To see how it all works in practice, let's have a go at this exam question.
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So in this question we have a pair of parallel lines
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AB and CD and then a transversal that cuts through the two of them.
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and we need to find the missing angles x and y Now, because of all of the different rules that we can use, there are normally multiple ways that we can do questions like this.
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And so there's no one correct way of doing it.
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The way I would do it though is notice that this section here is like a backwards C shape.
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and do the 135 degrees and the x are allied or co -interior angles.
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which means that they must add together to make 180 degrees.
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So we now know that 135 plus x equals 180.
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which means that x is 45 degrees.
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And then because y is vertically opposite x, we know that y must be 45 degrees as well.
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Anyway, that's the end of this video.
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So like always, if you want to practice questions on any of this stuff, then head over to our platform.
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If you want to go to this particular lesson, then click on the link down in the description below.
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Or if you want to see our platform in general, then click on the link in the top right corner of this screen.
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Otherwise, we'll see you next time.

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Vocabulaire et conseils d’expression pour cette leçon

Cette leçon d’expression orale de niveau B1 s’appuie sur la vidéo « GCSE Maths - Alternate, Corresponding and Allied Angles - Parallel Lines Angle Rules ». Les mots qui reviennent le plus souvent : angle, degree, rule, shape, add. Cette vidéo contient 59 phrases et 817 mots à répéter en shadowing. La partie parlée dure 5:34. Le locuteur parle à un rythme régulier d’environ 147 mots par minute, confortable pour le shadowing. 86 % des mots font partie des 3 000 mots les plus courants en anglais ; le reste mérite d’être vu avant de commencer.

Vocabulaire clé de cette vidéo

Les 12 mots les plus avancés de la vidéo, avec leur prononciation et leur sens :

MotPrononciationSens
ally nom/ˈæl.aɪ/allié, alliée
vertically adverbe/ˈvɝ.tɪ.kəli/verticalement
correspond verbe/ˌkoɹəˈspɑnd/correspondre (...à qqchose)
diagram nom/ˈdaɪ.ə.ɡɹæm/diagramme, schéma
transversal nom/tɹænsˈvɝsəl/transversal
parallel adjectif/ˈpæ.ɹəˌlɛl/parallèle
flip verbe/flɪp/retourner
memorize verbe/ˈmɛm.əˌɹaɪ̯z/mémoriser, apprendre par cœur
backward adjectif/ˈbækwɚd/en arrière
likewise adverbe/ˈlaɪkˌwaɪz/de même, pareillement
scenario nom/sɪˈnɛəɹioʊ/scénario
examination nom/ɪɡˌzæm.ɪˈneɪ.ʃən/examen

Les verbes à particule que vous entendrez

MotPrononciationSens
work out verbe/ˌwɝk ˈaʊt/calculer

La grammaire de cette vidéo

Les structures que le locuteur utilise le plus, avec les mots exacts de la vidéo :

StructureDans la vidéo
Voix passive be + participe passé — l’accent est mis sur ce qui arrive, pas sur qui le faitare considered · been flipped · are allied
Futur avec « will » will + verbe — une décision, une promesse ou une prédictionwill always add · you'll sometimes see · they'll be
Obligation : must / have to / need to dire qu’une chose est nécessairehad to find · has to add · need to find
Présent continu am/is/are + -ing — ce qui se passe en ce momentis missing · are corresponding

Prononciation à surveiller

Le locuteur utilise 6 contractions et formes réduites, comme they'll, they're, we'd. Prononcez-les sous leur forme courte, telles que vous les entendez.

  • Les sons « sh » et « zh »: orientation /ˌɔː.ɹi.ənˈteɪ.ʃən/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/
  • Mots longs — placez bien l’accent: vertically /ˈvɝ.tɪ.kəli/, orientation /ˌɔː.ɹi.ənˈteɪ.ʃən/, importantly /ɪmˈpɔɹ.tənt.li/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/

Comment s’entraîner avec cette vidéo

  1. Écoutez la vidéo en entier une fois sans parler et notez les mots que vous ne connaissez pas.
  2. Répétez phrase par phrase à vitesse normale, en reprenant chacune jusqu’à ce que votre rythme corresponde à celui du locuteur.
  3. Enregistrez-vous et comparez avec l’original, en faisant attention à des mots comme ally, vertically, correspond.

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