That one is quite simple. On the sketch, you get
w+x+y+z=360º
Making the substitution with x+y=w+z, you get
w+w+z+z=360º <=> 2(w+z)=360º <=> w+z=180º
Proving AOB is a line, because the sketch provides, that w+z is an angle of AOB.
I am pretty sure, you were not asking for the proof, but I wanted to do it anyways. Does a genuine proof count as an anti meme?
how do you know that x+y=w+z? isn’t that already assuming that they are equal? what if they’re one degree off?
Because we read the question: if x+y=w+z, prove…
isn’t that already assuming that they are equal?
The problem asks us to make this assumption.
Wait but you can’t just sub x+y with w+z. (Its given, my brain forgot about it)
I mean, could have specified that at the start
It’s a trick question. Question didn’t say whether AOB is a straight line or a gay one
Maybe thee is an elegant way but
X+y+w+z=360°
Given X+y=w+z
Therefore we can sub X+y with w+z
(W+z)+(w+z)=360°
2(W+z)=360°
Divide both sides by 2
W+z=360°/2
W+z=180°
Straight lines are defined as having/being 180 angle
Oh i forgot about x+y being given as w+z. Yep with that its all good. I thought you made that assumption.
The elegant way would be to use radians over degrees
You have to show your work in snokenkeekaguard’s class
Wdym?
x + y + z + w = 360 because… Uh. I don’t remember what the terms to use are but it does. It’s a full circle. It’s 4 points and 4 angles.
2 (x + y) = 360 because substitute x + y = z + w
x + y = 180 because you divide each side by 2
because x + y is 180, AOB is a line.
That’s the best I can do. I may have forgotten a few steps about things you can’t assume.
Pleased to see everyone solving the math problem in the antimeme, I did too!
Theres something about these little questions thats irresistible to solve lol. I just wish it was a tougher task.
Did you not learn anything from your high school that’s easy🥲
I did, but after 22 years I forgot how to solve algebra without being given at least 1 of the variables. 🥺
But also I still dont know how I would prove it’s a line even if I got the x+y=w+z part. I could say 1+2=1+2. So 3. How is 3 a line? I have no idea. 3 is a number not a line. 😩
Unless… 3 is a squiggly line? 🤔
Edit: Bit disappointed nobody came to shit all over my math skills. Especially since halfway through typing the comment, I forgot the second half of the problem. 🤣
You do have a number, it’s just not written down! It’s that a full circle is 360 degrees
- Let x + y = d and w + z = e for easier writing
- We know d + e = 360 degrees (a full circle)
- d = e, so 2d = 360, so d = 180 degrees
- The angle AOB = d, and d = 180 degrees, so AB is a straight line
The actual maths is really easy, the bit that I assume is tripping you up is the realisation that you have more information than the words of the question
Just intuitively, it says they’re equal, and the paired angles are adjacent. The only time two halves of a full circle have equal angles is half way.
I think this question is about making sure you state thinks in a formal manner. It is obvious, but you need to do state that as a mathematical proof.
As long you leave no ambiguities about your reasoning, it’s a mathematical proof.
You guys are all creative/smart. I would have held my ruler against the line and then traced around it with my pencil.
Better stick to ExTeenTailism
