A straight line is how many degrees? MANY will get this WRONG!
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- Опубликовано: 24 фев 2024
- The angle measure of a straight line.
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relative to what?
Angle IN RELATION TO WHAT COORDINATE SYSTEM? A line is simply that - a line. It only has an angular component in relation to some other line or plane. In order for the "angle" to be 180 degrees, you would be taking the angle between two line segments (rays, if you will) with a common origin. But that is not what is specified here. What is shown is a line, the arrows implying that each end extends to infinity - in other words, the classic definition of a line. In this case, no common origin is specified. So the line shown has no angle.
I was expecting a representative vertex on the line in the initial illustration. Therefore, I was not able to determine that any of the choices were correct.
I agree. Even more so after the discussion of lines vs. rays a few minutes into the video. The first picture, as drawn, showed one line, rather than two rays emanating from a point.
I have not yet started the revisiting of my geometry notions going back to the 70's but I got this one right for 2 reasons.
1) I considered the usual disclaimer "many will get that wrong" which excluded a) in my estimation. 2) I remembered the expression "180 degree-turn.
Does that count? They say that if you mishit your shot in tennis and still win the point it does. ;)
So, I'll take my "trophy" and move on. :)
m = 0
there's NO vertex shown
in airport runways this would be 27 (270°) if right to left and 9 (90°) if left to right.
In polar it's both 0 and pi.
Having the arrows on each end means that it is a ray(s) and necessarily has a vertex somewhere in between, but is not shown specifically.
Of course! Well explained again! The vertex + the explanation about the nature of angles make it clear.
That was in some drawer of my memory (acute and obtuse angles for sure) but it needed someone to open it. ;)
Thanks!
If there were 2 rays that met at the vertex, why was the vertex not illustrated in the question? Maybe the line has infinate number of vertices, and thus an infinate numer of 180° angles?
The first time I saw the thumbnail (I haven’t opened the video yet), the first question I had was “where’s the vertex?”. If there are three points along the line: A, B, and C, which one is the vertex? If that’s defined, you can easily answer the question, otherwise it’s ambiguous.
Hi John! Thank you for your videos. I hope you are able to keep doing them for a long time. My school days are long past, and I never was even halfway good at math. BUT, I watch your videos every day as a challenge to better myself at something that I stink at (math)!! lol…. Maybe one day I will get up my courage and watch your Geometry videos. God bless!
No vertex no angle!
also a straight line is something different than a (double ) vector, simple math , ; also a straight line is not how many degrees , bur has how many degrees? poor language! is would be: m=degrees
If I set up my transit on a point on line, site another point with the circle set on 0° then I can turn 180° right or left or I can leave the circle on zero and plunge the scope to look the other way. So it depends.
👍 good stuff 👍👍👍
An odd notion. in the explanation you put the Vertex in the middle between the arrows on the line but the arrows go to infinity so there can never be a vertex in the middle because there is no end points to infinity. so if you randomly put a vertex down on this line draw a ray from the vertex with an arrow on the end can you rotate that ray where the end point goes to infinity. Maybe the whole explanation needs to be with line segments that have two end points. if that's so then maybe a line with two arrows going to infinity the answer should be 0 ?
Something that is 0 degrees is a ray. Two rays that move out from a single end point in opposite directions (180 degrees) is a line. I am quite a bit surprised that despite how little geometry (and even algebra I use on a daily basis, at least consciously) I'm able to recall a lot of this stuff from 30-35 years ago. But as with many things, if you periodically review or encounter the concepts in daily life it sort of becomes engrained in your mind (such as identifying right triangles for example in everyday life and thinking about how to calculate the various sides for example). Or for some more practical applications, like figuring out the square footage of a room which people probably do and don't think much of it.
I have never seen so many negative comments. I bet the same people look at these videos to find errors. For people like me, your videos teach me something long forgotten.
Is'nt a line defined as that which has no beginning point and no end point? If that is the case then will there be a vertex? If there is no vertex then isn't the angle zero deg?
This is one of the best puzzle type questions you have put up!
I can imagine the fun I would have with this one in a pub full of half drunk "know alls"!!! After you eliminate 0 and 270 by logic, the other two are open to interpretation. But I guarantee I can make money in the pub on this one!!
Degrees of what? If you are talking about degrees of rotation and if the line overlays the initial condition, then it's some integer multiple of 180.
Interestingly, the law of cosines applies to a straight segment as a flat triangle based on an angle of 180 degrees.
The law of sines, not so much because you can draw altitudes of zero, leading to sines of something over zero.
🤔Definitions of words should not contain the word being defined. Look at timestamp 2:20.
Before I watch your video .. Surely it depends on where the vertex is.
If the vertex is in the middle of the straight line then the angle is 180 degrees
If the vertex is at one end of the straight line then it's either 0 or 360 degrees.
The one thing it isn't is 270 degrees.
The line you started with has NO "Vortex" and therefore has NO "Angle" but is a straight line sitting at 180 degrees on a compass... What say you...
C) 180°🎉yea.line,ray,segment
d. 270. Oops, I guessed wrong, I took it to be a horizontal line; where 000 degrees was the top of the paper, thus 0,180, and 360 would be vertical.
I hope that sometimes he says 'Many will get this correct'.
Strikes me as a question that's intentionally confusing designed to TRICK someone when a good kind of question isn't available....
180° for example , a dogleg is 135° .. right angle is 90°; a 45° is a sharp angle like an arrow head
An angle is a measure of rotation of a line about a point. You do not show the point about which your line has rotated known as the centre of rotation. So no rotation no angle
We commonly identify 6 angles:
Acute angle : less than 90 degrees
Right angle: equal to 90 degrees
Obtuse angle: greater than 90 degrees but less than 180 degrees
Straight angle: equal to 180 degrees
Reflex angle: greater than 180 degrees but less than 360 degrees
Complete angle: equal to 360 degrees (also called full angle or perigon)
At least that's what I learned about 70 years ago in elementary school. 😀
180. But at 50 not 4 yet. I have yet to ever use Algebra for anything. Geometry much times.
180
Geee. I get it. Yet another part of me says 0 degrees., ha ha . Could you possibly one time show what an example of a 0 degrees angle is then?
I would guess it would be his figure with a dot on one end (vertex) and arrow on other end.
C?
Y🎉
180*
c)180°
It depends on your perspective not all straight lines are straight
b). 180°.
Score one for me.
C 180°
A?
Actually is that the name given the line "o"?
straight line 180 simple. thanks for an easy one.
😂 spoiler alert
I haven’t watched the answer yet. 180. God help me, lol
I hate these math teacher Conventional trick questions. By your definition what is shown in the question is a LINE NO Vertex so to be HONEST the answers would be 0 degrees or 180 degrees. You make up these conventions of Math Teachers to catch kids out and mark them wrong when IN ALL HONESTY they ANSWER CORRECTLY not by your convention standards but correctly. Saying the LINE has NO ANGLE is Correct as there is no vertex shown. This is what makes kids angry and give up on trying because you LIE and CORRUPT the TRUTH.
Worth mentioning: An obtuse angle is less than 180 degrees (and greater than 90 degrees).
Half of 360 is 180
180 degrees
zero
360
0
A. I'm sure I'm not correct, but I'll keep trying
You showed no vertex in the original question, but you showed it in your explanation. Explain your position without showing the vertex in your explanation.
Yep. 0. Because if it was 180, that would be the same line but upside down from where it is. Here goes nothing
A straight angle of 180°
Yay I got a happy face
No ! I reckon 0. Ohh, this is hard
‘Typically we START from here and go anticlockwise’, Why?
Using a vertical black/white board the physical world reference is up and down, basically gravity.
Declaring _from the centre_ going _right_ to be *_zero_* degrees is not grounded in any scientific principle. Rather it is a supremely _precious_ arbitrary, reflecting on one’s own navel projection, an art rather than science.
Atomic number is a scientific value rooted in the physical universe, direction is only real when compared to a reference, say the orbit of the earth around the sun and the earth’s inclined rotation.
A line drawn in the sand of the desert has no automatic mathematics practitioner’s promulgated direction. Some long dead nerd declaring that some position from the centre to a corner or to somewhere along the edge of a rectangle is and has to be *‘IT’* is not science, it is woolly art.
Would a culture reading right to left or top to bottom _or even an alien life form_ decide the same _‘obvious inherently correct’_ *‘IT’* direction?
It is funny how WE have travelled the world for centuries using a real, physical universe reference direction, WE call it 0 degrees, towards the top of the chart, NORTH.
i liked geometry a lot more than algebra and trig.
I was wrong
Why don't you just give the answer right off. Start there to explain giving the reasons afterwards.
Rats
I would think it is 180 degrees. Therefore my answer is C 👍
Are you kidding me/ "Many will get this wrong"? What a sad indictment of the education system.
It’s a. This question is sheisty af.
You are the one getting it Wrong. A straight line has no angle.
Straight = 180° Reflex = < 90°
Acute = > 90°
A circle , Rhombus; squares all equal the same.
And my Application Estate along with my 171 now that's a cool 😎 fire water; all angles covered. 😎 as a 🐈 😻.
180
360
0
180 degrees
180
180
180
180
180
180
180
180
180 degrees
0