Shadowing Practice: GCSE Maths - Alternate, Corresponding and Allied Angles - Parallel Lines Angle Rules (2026/27 exams) - Learn English Speaking with 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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Vocabulario y notas de pronunciación para esta lección
Esta lección de conversación de nivel B1 se basa en el vídeo “GCSE Maths - Alternate, Corresponding and Allied Angles - Parallel Lines Angle Rules”. Las palabras que más se repiten: angle, degree, rule, shape, add. Este vídeo tiene 59 frases y 817 palabras para practicar shadowing. La parte hablada dura 5:34. El hablante mantiene un ritmo constante de unas 147 palabras por minuto, cómodo para el shadowing. El 86 % de las palabras está entre las 3.000 más comunes del inglés; conviene repasar el resto antes de empezar.
Vocabulario clave de este vídeo
Las 14 palabras más avanzadas del vídeo, con su pronunciación y significado:
| Palabra | Pronunciación | Significado |
|---|---|---|
| ally sustantivo | /ˈæl.aɪ/ | aliado, aliada |
| vertically adverbio | /ˈvɝ.tɪ.kəli/ | verticalmente |
| correspond verbo | /ˌkoɹəˈspɑnd/ | corresponder, equivaler |
| diagram sustantivo | /ˈdaɪ.ə.ɡɹæm/ | diagrama |
| alternate adjetivo | /ˈɔl.tɚ.nət/ | alterno |
| parallel adjetivo | /ˈpæ.ɹəˌlɛl/ | paralelo |
| flip verbo | /flɪp/ | darle vuelta, voltear |
| memorize verbo | /ˈmɛm.əˌɹaɪ̯z/ | memorizar |
| backward adjetivo | /ˈbækwɚd/ | retrógrado |
| likewise adverbio | /ˈlaɪkˌwaɪz/ | similarmente, ídem |
| orientation sustantivo | /ˌɔː.ɹi.ənˈteɪ.ʃən/ | orientación |
| importantly adverbio | /ɪmˈpɔɹ.tənt.li/ | importantemente |
| scenario sustantivo | /sɪˈnɛəɹioʊ/ | escenario, supuesto |
| examination sustantivo | /ɪɡˌzæm.ɪˈneɪ.ʃən/ | examen, examinación |
Gramática en este vídeo
Las estructuras que más usa el hablante, con las palabras exactas del vídeo:
| Estructura | En el vídeo |
|---|---|
| Voz pasiva be + participio pasado — importa lo que ocurre, no quién lo hace | are considered · been flipped · are allied |
| Futuro con “will” will + verbo — una decisión, una promesa o una predicción | will always add · you'll sometimes see · they'll be |
| Obligación: must / have to / need to decir que algo es necesario | had to find · has to add · need to find |
| Present continuous am/is/are + -ing — algo que ocurre ahora o en estos días | is missing · are corresponding |
Pronunciación a tener en cuenta
El hablante usa 6 contracciones y formas reducidas, como they'll, they're, we'd. Dilas en su forma corta, tal como las oyes.
- Los sonidos de “sh” y “zh”: orientation /ˌɔː.ɹi.ənˈteɪ.ʃən/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/
- Palabras largas — cuida el acento: vertically /ˈvɝ.tɪ.kəli/, orientation /ˌɔː.ɹi.ənˈteɪ.ʃən/, importantly /ɪmˈpɔɹ.tənt.li/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/
Cómo practicar con este vídeo
- Escucha el vídeo entero una vez sin hablar y anota las palabras que no conoces.
- Haz shadowing frase por frase a velocidad normal, repitiendo cada una hasta que tu ritmo coincida con el del hablante.
- Grábate y compara con el original, prestando atención a palabras como ally, vertically, correspond.
¿Qué es la Técnica de Shadowing?
Shadowing es una técnica de aprendizaje de idiomas respaldada por la ciencia, desarrollada originalmente para la formación de intérpretes profesionales y popularizada por el políglota Dr. Alexander Arguelles. El método es simple pero poderoso: escuchas audio en inglés nativo y lo repites en voz alta de inmediato, como una sombra que sigue al hablante con solo 1-2 segundos de retraso. A diferencia de la escucha pasiva o los ejercicios de gramática, el shadowing obliga a tu cerebro y músculos de la boca a procesar y reproducir simultáneamente patrones de habla reales. Las investigaciones muestran que mejora significativamente la precisión de la pronunciación, la entonación, el ritmo, el habla conectada, la comprensión auditiva y la fluidez al hablar, convirtiéndola en una de las metodologías más efectivas para la preparación del IELTS Speaking y la comunicación en inglés en el mundo real.