Angles of Triangle: Sum of Interior Angles and Exterior Angle Theorem by @MathTeacherGon

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... Good day to you, Regarding the " Exterior Angle Theorem " it would be beneficial for beginning students to give a bit more explanation for a thorough understanding, because my experience with for instance tutoring students they will not remember the theorem without a clear understanding, so what I would do is to also first show the relationship between the exterior angle X and the interior angles ( T deg., 88 deg., 39 deg. ) of the triangle as follows ... [ assume unknown angle T ] .... 180 deg. - X deg. = T deg. = 180 deg. - (88 deg. + 39 deg.) ... - X deg. = - (88 deg. + 39 deg.) ... X deg. = 88 deg. + 39 deg. = 127 deg. ... now students can see for themselves that this theorem didn't randomly fall out of the sky! I personally don't like to learn theorems, but rather understand them! Thanks for your math efforts ... best regards, Jan-W

jan-willemreens
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your solution in triangle number 3 is wrong = x + y = 180, let y is our third interior angle; y + 88 + 39 = 180 = y=53, therefore; x + 53 = 180; x = 127..THE SUM OF TWO INTERIOR ANGLES (88 & 39" CANNOT BE ADDED WITH AN EXTERIOR ANGLE X DIRECTLY.

science-health-safetymusic
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thank you so much, sir! this was very helpful and i understood very quickly. very helpful for my test tomorrow ;)

loafythedog
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wonderful..explanation is so simple and easy to follow. Thank you so much🙏🙏

mohanaram
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Whenever I worked out the missing number for each angle, what I did was I added up the sum of each triangle using my calculators and then subtracting the given number from 180° to figure out the missing number

vincentxie
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You are the best teacher please explain about angels and lines and transversals please do it today if you can

msharyoretxmesh
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Thank you sir really appreciated 🙏 👍 👏

tsoovrh
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Very useful explanation, keep it up sir

ricardodeguinon
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The 3rd one Is wrong your meant to take the 127 away from 180

unity_king
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thank you so much this was very helpful

jhevrhn
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thanks you so much my concept was cleared in 5 minutes 😃😃

hhvlogs
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What is the sum of exterior angles (definition)

RearabilweAgnes
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Great letcher of angles I'm so bad at them at school 😂

latoya
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formula:
x + y + z = 180
then just follow the method for solving the missing variable as trained
mathematics is just pure common sense IMO

arjayph
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I don’t think this lesson is for jss1😢

adeyola
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Thank you Sir i can finally complete the assignment my teacher gave me

justinvelasquez
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I really understand your teaching very well sell your accout I want to send you money

abrahamzira