Geometry Part 7: More on Angles formed by Parallel Lines and Transversals

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This video demonstrates how to use Properties of Vertical Angles, Corresponding Angles, Interior Angles of a Triangle, and Supplementary Angles to find all the angles in a diagram. Other Properties discussed include Alternate Interior Angles, Alternate Exterior Angles, Complementary Angles, and the Exterior and Opposite Interior Angles of a triangle. The diagram that is analyzed includes two parallel lines crossed by two transversals.

[@Henry-eu3eo]

Thank you so much I really did not understand this in class till now

[@nikocreed8244]

i guess Im kinda randomly asking but do anyone know of a good website to stream newly released series online ?

[@bismah9735]

Your explanation was amazing. It helped a lot!! Thanks ❤️

[@محمدمتوليالشيخعمر]

hi miss mary ....i am an Egyptian math teacher and i really enjoyed that ...u covered all the component of the lesson in 5 minutes .... will done

[@MzMath]

Thanks for being so supportive! It means a lot coming from a colleague. :-)

[@محمدمتوليالشيخعمر]

you are a gifted teacher ...but unfortunately you dont have a lot of video ...please inform me when you create a new thing...

[@chadmyers1314]

Thank you! This was a tremendous help!

[@MzMath]

I am so glad! Thank you for the positive feedback!

[@Luuv_Jesh]

Thanks ALOT Miss Hearn, I am getting it now, before my mind is completely blank about this study. Tks a lot and God bless you!

[@darkomew8209]

Thank you this has helped me better understand parallel and transversal lines!

[@kampiskatwan8533]

Thank you Ms. Hearn, I took MA 305, and I was Kind of struggle with this problem. But just after watching this Video, I fully understand.

[@MzMath]

Glad it helped!

[@sheilamatthews7384]

Thank you Ms. Hearn for this teaching video. It is very helpful to understand parallel and transversal lines.

[@MzMath]

You're very welcome!

[@sonurai6979]

Thanks ma'am... you just explained all these angles very beautifully and in a simplest way... Thanks a lot

[@julianbocanegra3663]

This video has helped me understand parallel and transversal lines. thumps up Ms.Hearn

[@kschep85]

Thank you so much for 2 days I’ve been trying to solve this exact problem (slightly different degrees provided but numbered the same) with this video I did it in 15 minutes

[@viralfever1622]

You have done a great job don't consider negative comments

[@nenegirl7627]

I'm Nashanti taking MGF1106 this video helped me understand the difference between transversal lines and parallel lines.

[@marijaerdeljanovic8927]

Marija Erdeljanovic Wed 11am, MGF1106 "When a right angle is broken into two pieces, those angles that are formed are called complimentary angles, and, of course, they must add up to 90 degrees."

[@joshuanun8192]

Thank! Great help and Great video! I like your note, too! Very simple and EASY TO UNDERSTAND concept.

[@MzMath]

Thank you so much for your thoughtful feedback. I really appreciate it. :-)

[@creativediy1]

Thanks a lot ❤ from India 🇮🇳 , concept clear 🎉

[@fidel_deportes]

MGF1106 M 9:30 Before watching this video, I didn't realize nothing of this content. Now I a learning a lot because of you. Thank you, Professor Hearn.

[@MzMath]

Glad to help!

[@chadfowler3225]

Chad Fowler MGF 1106 9:30 This is really helping with the mathlab homework right now I learned that vertical angles that are directly across from each other are equal

[@MzMath]

Fantastic! That is a useful fact. I am glad it is helping.

[@seraphimamare5487]

best vid ever after online school its so confusing this is 10./10

[@MzMath]

Awww! Thank you so much! :-) Good luck with your studies!

[@desos2352]

Omg Thankyou sooo much I failed geometry bc of angles 😭 but now Ik how to do now on test thankyou sooo much !! God bless u❤️

[@lilamoulton5537]

i have a test tomorrow and i didn’t get the concept. thank you so much! but i do have a question. if angles 9 and 10 are supplementary, why aren’t angles 11 and 12 supplementary? thanks

[@MzMath]

Actually they are! Good observation. :-)

[@bmcrae8]

1) bmcrae 2) MGF1106 EFSC 3) If we look at the angles that are outside parallel lines and on alternate sides of the transversal, we call these alternate exterior angles.

[@melissacaso5759]

Melissa Caso MGF1106 W 9:30 My takeaway from this video is there are different types of relationships we have to remember such as complementary which sums up to 90 degrees and Interior angles of a Triangle which always sum up to 180 degrees. You make this much more easier to understand and this takes a lot of stress out of math for me. Thank you!

[@UnrivaledMIATTA]

THANK YOU SOOOO MUCH!!

[@MzMath]

Yay! I am glad that you found it helpful! Thank you for the positive feedback. :-)

[@iluv._kizzy963]

Thank you soo much ma'am we really appreciate it 😊 God bless you

[@MzMath]

Most welcome 😊

[@donaldjohnson352]

Devin Carey MGF 1106 W 11-12:15 When a right angle is broken into 2 pieces, those angles that are formed are called complementary angles and of course must add up to 90 degrees.

[@stefanohapilos4596]

Sandie Hinds MGF 1106 TR 2 p.m.-3:15 p.m. " When a right angle is broken into pieces, the angles that are formed are called complimentary angles and they must add up to 90 degrees". " Angles that are vertical are equal to each other".

[@ramonaflowers9799]

Roxanne Geldart MGF1106 TR 2pm "Corresponding angles, they are on the same side of the traversal L3, and they're both on top of the parallel lines. This means that angel 6 is equal to the sum of angles 1 and 2. Angle 6 is 114 degrees and angel 2 is 57 degrees. So subtract these two values to find angle 1. "

[@prestoncohen2743]

Preston Cohen (MGF1106 9:30-10:45 Wednesday). My takeaway from this video, is that I now learned some key geometry vocabulary words that are very important to understand. Thanks again.

[@MzMath]

It is easy to underestimate the importance of vocabulary. I am glad you found it helpful!

[@zhariahneville8705]

Omg thx I was confused at first but this really helped

[@MzMath]

I want you to be successful and I am here to help! Thank you for the positive feedback!

[@anniefarrugia8570]

I like the examples given regarding the relationship of all angles

[@lily_8909]

Thank you so much this really helped me!

[@MzMath]

I'm so glad it helped! Thanks for watching. :-)

[@catherineriquel3554]

Catherine Riquel MGF1106 -Wednesday 11am “When a right angle is broken into two pieces those angles that are formed are called complementary angles and they must add up to 90 degrees”

[@alishamccarthy2874]

Alisha M MGF 1106 Tuesdays and Thursday’s 2pm-315pm This video was really helpful... Identifying each vertical angle first and if an angle is opposite of one another they are equal ; Each angle has to add up to 180 degrees in an triangle and each supplemental angle add up to 180 degrees... I always had trouble trying to figure out this for years and this video was really helpful thank you soooo much

[@naibymax4362]

This is Naiby Wu Lu and im from class MGF1106, one take way from this video is that i learn transversal is a line that intersects each of a pair of parallel lines.

[@Mel-dv8jx]

Melissa Denose MGF1106 TR 2PM "When a ray projects off of a straight line forming two angles those angles are necessarily supplementary or add up to 180" this helps so much because i genuinely had no idea how to solve these problems

[@sybp9780]

Sybill Pierre MGF 1106 TR2PM When a pair of parallel lines are crossed by a transversal, the two angles on the same side of the transversal and the same side of the parallel lines are called corresponding angles

[@JessieLove34]

Jessica Guallimba, MGF 1106 Tuesdays 9:30-10:45, "When two parallel lines are crossed by a transversal and we look at the angles that are between the two parallel lines but are alternate sides of the transversal call these alternate interior angles."

[@reubenk.edumeh6640]

Thank you for the effort..Gratitude

[@teraynebosch6405]

Terayne Bosch MGF1106 M930 One of my takeaways from this video is: " When a pair of two parallel lines are crossed by a transversal, the two angles on the same side of the transversal and the same side of the parallel lines are called corresponding angles."

[@ebjacks2000]

Very helpful! Thanks!

[@MzMath]

Glad it was helpful!

[@kenricksappleton8277]

Mgf1106 friday 9:30-10:45am Corresponding angles are equal Alternate interior angles are equal Alternate exterior angles are equal

[@lastditch727]

This was helpful thanks

[@asasgqolana7574]

Thank you so so so so so so much this really helped me a lot like alot lot lot lot🙏🏽❤

[@MzMath]

You are so so so so so welcome! Thanks for watching! :-)

[@AGato-dq9of]

A. Gato MGF1106Wed11:00am "When a pair of parallel lines are crossed by a transversal, the two angles on the same side of the transversal and the same side of the parallel lines are called corresponding angles."

[@nasrullh5863]

Realllllyyyyy helped me !!😁😁😁😁

[@성훈원영]

This was very helpful. Thank you!

[@MzMath]

Glad it was helpful!

[@carlyrebar9513]

Carly Rebar MGF1106 M 9:30 My takeaway from this video is that complementary angles are right angles split in half so they must add up to 90 degrees.

[@MzMath]

Good work!

[@shayleebelk3985]

Thank you this helped me so much!!❤️❤️❤️

[@havesti]

Haven L. MGF1106 Wednesday 11 AM "When a right angle is broken into two pieces those angles that are formed are called complementary angles and of course they must add up to 90 degrees."

[@theselfishcatt8416]

MGF 1106 FRI 9:30 Kealee Wilkes Corresponding, alternate exterior, and alternate interior's angles are equal.

[@krissims6098]

Kerstin haber mgf1106, one thing I liked about this video is how everything was color coded and organized well so i can understand it more.

[@victoriagonzalez7554]

Victoria Gonzalez MGF1106 W 11am "on the other hand, when parallel lines are crossed by a transversal and we look at the angles that are between the two parallel lines but on alternate sides of the transversal we call these alternate interior angles"

[@MalevolentRage]

Devyn Colon MGF 1106-683 I'm sure I've said it before, but I like that you color code each element of the problem and the solution as you go. It really helps distinguish each part of the problem making it easy to follow and even easier to comprehend.

[@edwinabaltazar4602]

Edwina Baltazar MGF1106 T 9:30 "when a ray projects off a straight line is called a supplementary "

[@jaycenjames9775]

Jaycen James MGF1106 M 9:30 My takeaway from this video is that supplementary adds up to 180 degrees and a complementary adds up to 90 degrees.

[@MzMath]

That's right! Keep up the good work!

[@joud4202]

Thank you so much

[@soumyadipchatterjee4251]

That was the easiest way to understand about angles 😍

[@balogunmonsrat8716]

Thank you so much I love this.

[@MzMath]

You are so welcome!

[@julaer7293]

Julia L. MGF1106 Thurs 9:30am. I appreciate you putting the definitions for concepts you were referencing, such as transversals. It made it easier to follow along, thank you!

[@arlynn25]

MFG 1106 If we are given two angles of a triangle are 66 degrees and 57 degrees in order to find the third angle you must add these two angles and subtract them from 180 degrees.

[@MzMath]

That's true, Lynn. And it is an example of an application of a very important concept. Keep up the good work!

[@angeljohnson6949]

Angel Johnson MGF1106 I learned from this video when 2 parallel lines are looked at from the outside the parallel lines on the alternate side of the transversal are called alternate exterior angles.

[@claudiamachado6060]

Claudia Aguiar MGF1106 T/R2pm "A transversal is a line that intersects each pair of parallel lines".

[@chhimibhutia3851]

What are angles 3 and 7 called?

[@rochermoise]

Moise Rocher MGF 1106-841 I learned a lot about Angle relationships.This video was perfect for a beginner like me. This video also helped me to obtain a better knowledge to understand parallel lines and transversals. One thing I liked about the video is how easy she explained the whole thing.

[@user-he5tj6ce2q]

BEST TEACHER EEEEEVER I WISH YOU WHERE MY TEACHER ❤️

[@MzMath]

Awww! You make my day! Thanks! :-)

[@user-he5tj6ce2q]

@@MzMath thank you ❤️

[@kimberlyabreu9959]

Kimberly Abreu MGF1106 M930 My takeaway from this video is the meaning of the word transversal. I thought you would say it was a perpendicular line, but the word transversal means "a line that intersects each of a pair of a parallel line."

[@victoriabusutil5145]

Victoria Busutil MGF1106 683 One thing I liked about the video was that you really color code the things and it helped me understand more everytime and you take your time to really show step by step. You show us easy ways to solve the steps in this geometry lesson.

[@Yousaf_789]

Thanks

[@jaimeearmesto2368]

Jaimee Armesto MGF 1106 Something I learned from this video was the difference between alternate exterior angles and alternate interior angles. Exterior angles are outside of the parallel lines, while interior interior angles are inside of the parallel lines.

[@MzMath]

Excellent! Important concept!

[@mateoupegui8252]

Mateo Upegui MGF1106 Wednesdays 11:00am A transversal is a line that intersects each of a parallel lines.

[@cynthiagamarra2345]

Cynthia Gamarra MGF1106 I learned that when a right angle is broken into two pieces the angles that are formed are called complementary angles and they must add up to 90 degrees

[@danielleruss2858]

Danielle Russ MGF 1106 I didnt realize that the exterior angle will always add up to the sum of the 2 opposite interior angles when you have a triangle with an extended side.

[@MzMath]

That's right! :-)

[@Krsnabhakt]

Thank you to give a difficult puzzle for maths expo

[@giaantonelli7378]

Giavanna Antonelli MGF1106 T 9:30 " when a right angle is broken into two pieces it is called a complementary angle"

[@onedouble0366]

Chauncey Bennett, MGF1106 Tuesday 9:30-10:45, " angle 2 is directly opposite of angle 57 and their equal to each other"

[@adrielb2739]

Adriel Biddy Fri 9:30am MGF1106 "If you add up all the angles on the interior of a triangle they will always sum to 180 degrees."

[@nannylove8995]

• Naketa Leiba • MGF1106-837 • Complete ONE of the following statements: o One thing I liked about the video was how you used information to provide the measurement of the angles. There are two parallel lines and two transversals. It forms a triangle and 14 angles. Starting with the two angles in the center if the triangle you can solve for the rest if angles.

[@valentinaolano7240]

Valentina Olano MGF 1106 My take-away from this video is that supplementary angles will always sum up to 180 degrees. No matter what angle the ray goes in, the angles on either side of the ray will add up to 180 degrees.

[@MzMath]

Awesome!

[@kllv5120]

Saskia François Mgf1106 9:30-10:45am Friday Corresponding angles are equal alternate interior angles are equal and alternate exterior are equal

[@beautifulandmotivated3181]

Very helpful👍🏽

[@kishushrivastava4131]

I have doubt in figure first..Two lines are not transversal when they intersect each other at the same point..??

[@MzMath]

Good question! Think of it as the pair of parallel lines has two different transversals.

[@kishushrivastava4131]

@@MzMath will u plz elaborate .Very thankful to u if u post shorts on this topic...

[@evanherring7816]

Evan Herring MGF1106 I learned how to use known relationships to find the measures of angles. I also learned that a transversal is a line that intersects each of a pair of parallel lines.

[@oymeeduan1531]

Oymee Duan MGF1106 M 9:30 My takeaway from this video is vertical angels are when two lines cross and they are also equal.

[@MzMath]

Keep up the good work!

[@mrsmelonbrain8422]

Aidan P. MGF1106 T, 9:30 Corresponding, alternate exterior, and alternate interior's angles are equal.

[@melissainfante646]

Melissa Infante MGF1106 (Wednesday 11AM) "When a ray projects off of a straight line forming two angles, those angles are necessarily supplementary or add up to 180 degrees"

[@jessicaminter4343]

[ Jessica Minter | MGF1106 ] Thank you Professor! This video helped me understand how to find the measures of angles formed by parallel lines.

[@patriciasandoval5972]

Patricia Sandoval MGF1106 Tuesdays 9:30-10:45am "We are giving that two of the angles inside the triangle are 66 degrees and 57 degrees and we have to find the remaining twelve angles."

[@ryancastill0586]

Ryan Castillo MGF 1106 9:30 am Complementary angles add up to 90 degrees & supplementary angles add up to 180 degrees

[@chadfowler3225]

Chad Fowler Wed 9:30am MGF1106 When a right angle is broken, the total must add up to 90 degrees

[@zas.ahmedsiddiqui6537]

wow , amazing video,

[@joelfisher1848]

Thanks so much incredible grateful

[@MzMath]

You are so welcome! Thank you for taking the time to give me positive feedback! :-)

[@Idgaf666]

Danny Serrano MFG1106 Tuesday Thursday 2-3:15 Vertical angles have angles that are equal on either side.

[@jacquielegg7787]

MGF 1106 WED. 11AM all angles of an interior triangle add up to 180 degrees

[@jacquielegg7787]

mike legg

[@sgopie1172]

Shereen Hart MGF 1106 Wed 11am "Vertical angles that form when two lines are crossed, and the angles are directly across from each other are also equal."

[@nicekaexavier7954]

Niceka Exavier MGF 1106 WED 11:00 AM "The combination of

[@poohmuffy14]

MG1106 Tues/Thurs This video helped me understand how to work out these parallel problems smoothly.

[@drelite8929]

Thanks alot for your help late comment

[@Jay-vu4ev]

J Campbell MGF1106 W 9:30 - 10:45am In this video, I learned how to find complementary, supplementary, and vertical angles.

[@MzMath]

Excellent! I am glad to hear it!

[@ashleyscheer672]

Ashley Scheer MGF1106 tues/9:30 when a ray projects off of a straight line, forming two angles, those angles are supplementarity and add up to 180 degrees