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[–] 101 points 1 year ago* (13 children)

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?

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  • [–] 5 points 1 year ago (4 children)

    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?

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  • [–] 0 points 1 year ago (3 children)

    But how do you know it's 360? If it wasnt a line, it could be 359.999 Or lets say 350, then w+z is 175.

    The 360-ness you take is from the point of view where you already expect it to be a line.

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  • [–] 24 points 1 year ago

    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.

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  • [–] 22 points 1 year ago (4 children)

    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

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  • [–] 31 points 1 year ago (1 child)

    It's a trick question. Question didn't say whether AOB is a straight line or a gay one

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  • [–] 10 points 1 year ago (1 child)

    Pleased to see everyone solving the math problem in the antimeme, I did too!

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  • [–] 6 points 1 year ago (2 children)

    Did you not learn anything from your high school that's easy🥲

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  • [–] 1 point 1 year ago* (last edited 1 year ago) (1 child)

    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. 🤣

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  • [–] 1 point 1 year ago

    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

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  • [–] 4 points 1 year ago (2 children)

    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.

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  • [–] 3 points 1 year ago

    You guys are all creative/smart. I would have held my ruler against the line and then traced around it with my pencil.

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