# Proof – Sum of Measures of Angles in a Triangle are 180

• SuCKeRPunCH187 says:

is there a name for this proof?

• wmy says:

@SuCKeRPunCH187
Pythagorean theorem.

• Sangram Musale says:

no!! there is no name for this proof

• Rosalina4eva2gether says:

Pythagorean theorem is only for right triangles

• Sam Rockwell says:

يابن اللعيبه!

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• Jamie Park says:

Triangle Angle Sum Theorem

• Robert Hickman says:

Why is it needed to say 'from both sides' in this context?

• Broken Heart Jayy says:

i still dont get  why me why me why me im so stupid

• A M says:

the vid gliched

• Markalos says:

The Pythagorean theorem is a squared+b squared=c squared. It's used to measure right triangles sides lengths. E.g. A=3 B=4 C=5

• Rachel Rodabaugh Suvorov says:

Well. That was unnecessarily convoluted and inefficient.
Here is the easier way. Label the angles along the top line above the triangle, left to right, a, b, and c. Since they form a line, their sum is 180. Angles a and c are congruent to the triangle's lower right and left angles, respectively, because of the parallel lines theorem. Angle b is congruent to the to angle at the top of the triangle because they are vertical angles. So the triangle consists of three angles congruent to a, b, and c, which we know add up to 180. Therefore the triangle has 180 degrees.

• TheFallen Hero says:

• Joe Blobber says:

couldn't someone just add the angles inside the triangles and be done with it?

• justin Bieber says:

this guyz thing is trash

• Savannah Vasquez says:

I don't understand how he explains how to do it

• Jeon Jaeun says:

caus hugo cant understand math ge is stupid booo

• Keyur Kumbhare says:

I am 17. Today, I got to know why is the sum of interior angles of a triangle is 180

• Sonali Taphare says:

gud to understand

• Sohyla Hanout says:

• Sohyla Hanout says:

Something i didnt heat from the top section of the comments

• why tho? cause i said so says:

that was a waste of my time

what what does the word 'argument' actually??? the things or issue we're talking about??

• The Slenderman says:

This is a little hard .The method we studied in school is easier .

• JJG Games says:

that was good

• Biggus Dickus says:

That is really neat.

• ujjwal gon says:

Hai

• Sombo Chea says:

He's not on the triangle sum theorem yet. He's just explaining things differently before the sum theorem in his next videos. Man people don't watch how he teach in each of his videos. Stop acting smarter than the teacher. Go make your own videos.

• Yousaf Sheraz says:

You are complicated

• Ananya Rahmani says:

you are a master of mathematics.now the only thing i see on youtube is khan academy

• mywebjunks says:

Found this video while teaching my son about this. Not sure if talking about x+y from 3:53 is nessesary. Confusing. After proved x == 'x', he can easily say angle C is equal to the angle next y, called 'z'. 'x' + y + 'z' =180, therefore A+B+C=180.

• Joker Toker says:

Hey, when you do, "x+y+? = 180", where do we get the 180 from? Seems like the whole proof is dependent on the 180. I assume it is from a circle, since that half of a circle and can been seen in the drawing. I ask because what is the proof that circle is 360 degrees? Seems like a number was chosen and not a real proof to prove that a circle is 360 degrees and nothing else. Can I get some clarity on this.

• Loneamaruq says:

Ah yes, The Tostitos Method™. Very nice! Maximum crunchitude achieved!