Shadowing-Übung: GCSE Maths - Alternate, Corresponding and Allied Angles - Parallel Lines Angle Rules (2026/27 exams) - Englisch Sprechen Lernen mit Video
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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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Wortschatz und Sprechhinweise zu dieser Lektion
Diese Sprechübung auf Niveau B1 basiert auf dem Video „GCSE Maths - Alternate, Corresponding and Allied Angles - Parallel Lines Angle Rules“. Diese Wörter kommen am häufigsten vor: angle, degree, rule, shape, add. Dieses Video enthält 59 Sätze und 817 Wörter zum Nachsprechen. Der gesprochene Teil dauert 5:34. Der Sprecher spricht gleichmäßig mit etwa 147 Wörtern pro Minute – ein angenehmes Tempo fürs Shadowing. 86 % der Wörter gehören zu den 3.000 häufigsten im Englischen; den Rest solltest du dir vor dem Üben ansehen.
Wichtiger Wortschatz in diesem Video
Die 12 anspruchsvollsten Wörter aus dem Video, mit Aussprache und Bedeutung:
| Wort | Aussprache | Bedeutung |
|---|---|---|
| ally Substantiv | /ˈæl.aɪ/ | Alliierter, Alliierte |
| vertically Adverb | /ˈvɝ.tɪ.kəli/ | vertikal, senkrecht |
| correspond Verb | /ˌkoɹəˈspɑnd/ | entsprechen, korrespondieren |
| diagram Substantiv | /ˈdaɪ.ə.ɡɹæm/ | Diagramm |
| alternate Adjektiv | /ˈɔl.tɚ.nət/ | alternierend, wechselnd |
| parallel Adjektiv | /ˈpæ.ɹəˌlɛl/ | parallel |
| flip Verb | /flɪp/ | umdrehen, wenden |
| memorize Verb | /ˈmɛm.əˌɹaɪ̯z/ | auswendig lernen, memorieren |
| backward Adjektiv | /ˈbækwɚd/ | zurück, nach hinten |
| likewise Adverb | /ˈlaɪkˌwaɪz/ | ebenfalls, gleichfalls |
| scenario Substantiv | /sɪˈnɛəɹioʊ/ | Szenario |
| examination Substantiv | /ɪɡˌzæm.ɪˈneɪ.ʃən/ | Prüfung, Untersuchung |
Phrasal Verbs, die du hören wirst
| Wort | Aussprache | Bedeutung |
|---|---|---|
| work out Verb | /ˌwɝk ˈaʊt/ | ausrechnen |
Grammatik in diesem Video
Die Strukturen, die der Sprecher am häufigsten verwendet, mit den genauen Worten aus dem Video:
| Struktur | Im Video |
|---|---|
| Passiv be + Partizip Perfekt – wichtig ist, was geschieht, nicht wer es tut | are considered · been flipped · are allied |
| Zukunft mit „will“ will + Verb – eine Entscheidung, ein Versprechen oder eine Vorhersage | will always add · you'll sometimes see · they'll be |
| Verpflichtung: must / have to / need to sagen, dass etwas notwendig ist | had to find · has to add · need to find |
| Present Continuous am/is/are + -ing – etwas, das gerade jetzt oder zurzeit passiert | is missing · are corresponding |
Aussprache, auf die du achten solltest
Der Sprecher verwendet 6 Kurzformen und abgeschwächte Formen, zum Beispiel they'll, they're, we'd. Sprich sie in der kurzen Form, so wie du sie hörst.
- Die Laute „sh“ und „zh“: orientation /ˌɔː.ɹi.ənˈteɪ.ʃən/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/
- Lange Wörter – auf die Betonung achten: vertically /ˈvɝ.tɪ.kəli/, orientation /ˌɔː.ɹi.ənˈteɪ.ʃən/, importantly /ɪmˈpɔɹ.tənt.li/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/
So übst du mit diesem Video
- Höre dir das ganze Video einmal an, ohne zu sprechen, und notiere die Wörter, die du nicht kennst.
- Sprich Satz für Satz in normaler Geschwindigkeit nach und wiederhole jeden, bis dein Rhythmus zum Sprecher passt.
- Nimm dich auf und vergleiche mit dem Original; achte dabei auf Wörter wie ally, vertically, correspond.
Was ist die Shadowing-Technik?
Shadowing ist eine wissenschaftlich fundierte Sprachlerntechnik, die ursprünglich für die professionelle Dolmetscherausbildung entwickelt und durch den Polyglotten Dr. Alexander Arguelles populär gemacht wurde. Die Methode ist einfach aber wirkungsvoll: Du hörst englisches Audio von Muttersprachlern und wiederholst es sofort laut — wie ein Schatten, der dem Sprecher mit nur 1–2 Sekunden Verzögerung folgt. Anders als passives Hören oder Grammatikübungen zwingt Shadowing dein Gehirn und deine Mundmuskulatur, gleichzeitig echte Sprachmuster zu verarbeiten und zu reproduzieren. Studien zeigen, dass es Aussprachegenauigkeit, Intonation, Rhythmus, verbundene Sprache, Hörverständnis und Sprechflüssigkeit signifikant verbessert — was es zu einer der effektivsten Methoden für die IELTS Speaking-Vorbereitung und reale englische Kommunikation macht.