calculate x and y | Mathematics | Page 1

vagrant radish Oct 30, 2022, 5:18 PM

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autumn raven Oct 30, 2022, 5:39 PM

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Hey not sure if you know about the #study-material channel. Has a decent bit of math help. Including a few videos to help with topics like this

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https://youtu.be/xZgvJgU0DEc

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https://youtu.be/mxUDmII7SlE

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These two links show how to find x and y

vagrant radish Oct 30, 2022, 5:47 PM

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autumn raven These two links show how to find x and y

yeah i’ve tried them but i can’t get my head around it

autumn raven Oct 30, 2022, 5:48 PM

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So do you understand what a corresponding angle is?

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and an alternating angle

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you will need to know what both of them are in order to answer this question

vagrant radish Oct 30, 2022, 5:48 PM

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not really no

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i can’t get my head around which angles are corresponding and which angle is alternating

autumn raven Oct 30, 2022, 5:49 PM

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no worries.. and you said you saw both videos?

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Just checking how much I need to rehash

vagrant radish Oct 30, 2022, 5:50 PM

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yeah and i’ve learned it in class too

autumn raven Oct 30, 2022, 5:50 PM

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So for both alternating and corresponding angles

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you will need to have 2 parallel lines intersected by a transversal in order to be able to solve missing angles

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a transversal is quite literally just the straight line that intersects them

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it cant be curved or have a bend

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if you have that

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then all you need to remember is placements

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alternating angles are just like the name suggest

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they will be on opposite sides of the transversal

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there are two types

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alternating interior and alternating exterior

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just think inside the parallel lines and outside the parallel lines

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so going back to your image, can you tell me which variable (x or y) is alternating and is it alternating interior or alternating exterior?

vagrant radish Oct 30, 2022, 5:55 PM

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is it x?

autumn raven Oct 30, 2022, 5:56 PM

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exactly!!

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correct

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now is it interior or exterior

vagrant radish Oct 30, 2022, 5:56 PM

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would be exterior?

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i’m not sure ah

autumn raven Oct 30, 2022, 5:56 PM

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lol nope

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it is interior

vagrant radish Oct 30, 2022, 5:56 PM

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ohhh

autumn raven Oct 30, 2022, 5:57 PM

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if the angles were on the outside of the parallel lines then you would have exterior

vagrant radish Oct 30, 2022, 5:57 PM

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ohh

autumn raven Oct 30, 2022, 5:57 PM

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that isnt important for this question but it is good to know

vagrant radish Oct 30, 2022, 5:57 PM

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ah yes

autumn raven Oct 30, 2022, 5:57 PM

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so now that you know it is an alternating angle

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one cool thing about alternating angles is that if your angles are formed by 2 parallel lines intersecting by a transversal

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then your alternating angles are equal to each other

vagrant radish Oct 30, 2022, 5:58 PM

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oooh

autumn raven Oct 30, 2022, 5:58 PM

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do you have this happening for x?

vagrant radish Oct 30, 2022, 5:59 PM

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yeahh

autumn raven Oct 30, 2022, 5:59 PM

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so what is your x?

vagrant radish Oct 30, 2022, 5:59 PM

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would it be 83?

autumn raven Oct 30, 2022, 5:59 PM

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nope

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i guess I should back up a bit

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so first you have to identify your parallel lines and the transversal

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x is formed by two lines correct

vagrant radish Oct 30, 2022, 6:00 PM

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yeah

autumn raven Oct 30, 2022, 6:00 PM

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focus on that part of the picture

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the lines that form x should be part of the parallel lines and transversal

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so what other angle is formed by the other parallel line and the transversal

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and it should be the same transversal

vagrant radish Oct 30, 2022, 6:02 PM

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i’m not sure but would it be 41?

autumn raven Oct 30, 2022, 6:02 PM

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that is correct

vagrant radish Oct 30, 2022, 6:02 PM

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oooh

autumn raven Oct 30, 2022, 6:02 PM

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so in your picture it tells you which lines are parallel

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they have the arrows

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that is the notation of parallel lines

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if you look at the line that creates x

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it also creates another angle on the other parallel line

vagrant radish Oct 30, 2022, 6:04 PM

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yeah

autumn raven Oct 30, 2022, 6:04 PM

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the line that creates these two angles is called the transversal

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so now that we know the pair that makes up the alternating angles, can you tell me what x equals?

vagrant radish Oct 30, 2022, 6:05 PM

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is it 41

autumn raven Oct 30, 2022, 6:05 PM

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correct!

vagrant radish Oct 30, 2022, 6:05 PM

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so x = 41?

autumn raven Oct 30, 2022, 6:05 PM

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yup

vagrant radish Oct 30, 2022, 6:05 PM

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yay

autumn raven Oct 30, 2022, 6:06 PM

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do you understand alternating angles a bit more?

vagrant radish Oct 30, 2022, 6:06 PM

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i think so yeah u explained it so well

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thank u for that

autumn raven Oct 30, 2022, 6:06 PM

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no prob, glad you got it

vagrant radish Oct 30, 2022, 6:06 PM

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:))

autumn raven Oct 30, 2022, 6:06 PM

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lets move on to angle y

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so corresponding angles

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there is also a visual hint in the name

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corresponding angles have similar positions to each other within their section of the graph

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so for example

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imagine you have two parallel lines and a transversal

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and it creates 8 angles

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4 on the top parallel line

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and 4 on the bottom parallel line

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can you visualize the image

vagrant radish Oct 30, 2022, 6:09 PM

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yep

autumn raven Oct 30, 2022, 6:09 PM

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it might help to draw it if you need to

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so you have all 8 angles

vagrant radish Oct 30, 2022, 6:09 PM

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ooh ok

autumn raven Oct 30, 2022, 6:10 PM

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corresponding angles will NEVER be both in the top or both in the bottom

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you will have 1 of the pair of angles in the top 4 angles and the other angle in the bottom 4 angles

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this is very important

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this is actually true for alternating angles

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as well as consecutive angles

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you will NEVER have both angles in the top or the bottom

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always split

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so now you just focus on the name

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Corresponding angles deal with the general area the angle shows up

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so if you have one angle in the top right of the TOP 4 angles

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its corresponding angle will be in the top right of the BOTTOM 4 angles

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likewise an angle in the bottom left of the BOTTOM 4 angles will have a corresponding angle in the bottom left of the TOP 4 angles

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they have "corresponding" placements or areas in their 4 angle group

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does that make sense?

vagrant radish Oct 30, 2022, 6:14 PM

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yes

autumn raven Oct 30, 2022, 6:15 PM

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so y is going to form a corresponding angle pair with which angle?

vagrant radish Oct 30, 2022, 6:15 PM

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83?

autumn raven Oct 30, 2022, 6:15 PM

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exactly

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you see y is formed by a different transversal

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so we do not look at the other angles

vagrant radish Oct 30, 2022, 6:16 PM

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yep

autumn raven Oct 30, 2022, 6:16 PM

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you create your pairs based off the same transversal and the 2 parallel lines it intersects

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now that you have the pair

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corresponding angles are pretty similar to alternating angles in that if you have 2 parallel lines intersected by a transversal

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the corresponding angles are also equal to each other

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so if that is the case, what is the value of y?

vagrant radish Oct 30, 2022, 6:18 PM

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would it be 83

autumn raven Oct 30, 2022, 6:18 PM

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CORRECT!!

vagrant radish Oct 30, 2022, 6:18 PM

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yay

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thank you so much

autumn raven Oct 30, 2022, 6:18 PM

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not a problem

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what grade are you in?

vagrant radish Oct 30, 2022, 6:19 PM

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you’ve literally been amazing and i understand everything sm better now

autumn raven Oct 30, 2022, 6:19 PM

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🙂 glad I can help

vagrant radish Oct 30, 2022, 6:19 PM

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i think it would be 10th grade

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i’m british so it’s like years

autumn raven Oct 30, 2022, 6:19 PM

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ah gotcha

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ah

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well.. if you ever feel like it, check out my channel

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https://www.youtube.com/c/TutorMeSempai

vagrant radish Oct 30, 2022, 6:20 PM

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oooh i will! you’ve been so helpful

autumn raven Oct 30, 2022, 6:20 PM

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if you see a topic you are still confused on, write me a comment

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I check the comments all the time

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if we need to talk more, we can meet on here for further explanation

vagrant radish Oct 30, 2022, 6:21 PM

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oooh okay! i’ll definitely have to subscribe to you now

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okay! thank you so much

autumn raven Oct 30, 2022, 6:21 PM

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🙂 You will do great. just take your time and keep asking questions

#calculate x and y