Each time you add a side to a polygon the the sum of the internal angles increase by 180° Triangle - 180° Rectangle - 360° Pentagon - 540° Hexagon - 720° Heptagon - 900° Octagon - 1080° Nonagon - 1260° Decagon - 1440° The eggheads were on the right path to divide 1440 by 180 to get 8, but their mistake was that you need to add 2 because you start counting from a triangle (3 sided polygon) not from 1 (it not possible to have a polygon with 1 or 2 sides).
This is not an easy question for people from a non-science background. It's not general knowledge, and even a mathematician would spend a bit of time working this out. Having said that, I'm surprised Barry didn't realise his method was incomplete given that he has a chemistry degree. I'm even more surprised that Pat nodded when Barry said '8', given that Pat has an engineering degree and chose 'mathematical formulae' as a mastermind specialist subject, in which he gave an amazing performance.
Apply their logic to a triangle in which the interior angles sum to 180 degrees. They would suggest a triangle is a line. Correct rule is to divide by 180 and add 2 to get the number of edges.
Ha, bet that bloody sickened em ! Don't even know why Judith is on it, she ends up getting most of em wrong & the ones she gets right, are mainly guesses ! I like how she didn't even try & answer it, but liked telling the other 2, to do it !
A polygon has to have a closed chain of straight sides that form a circuit. This is why a Triangle is the first on the list. If the Eggheads had worked it out this way instead of trying to be too clever they would have got the right answer.
neat trick to calculate the sum of the interior angles of any regular polygon is (n-2)*180 where n is the number of sides e.g, (10-2)*180=1440 it was sort of a trick question
I think a top quiz team like the Eggheads should memorize things like this, number of degrees in angles how many sides a dodecagon, nonagon have etc. They have fantastic minds for memorizing facts but it looks like, GCSE maths can trump them.
They will of course know what number of sides a whatevergon has - the classical word roots will be part of their daily job. But while it is clear none of them is in any way a mathematician (you can tell by the way they do the division 1440/180) they are getting close to the correct answer, only forgetting one minor detail...
@@Ulkomaalainen That's where you're wrong there - they had two mathematicians there (Barry has a chemistry/maths degree and Pat is a engineer and mastermind starred with mathematical formulae). Despite the fact Pat wasn't allowed with them, it's still a very simple thing to get wrong.
Lol they were on the right track but forgot that two sided and one sided shapes are not polygons and cannot have interior angles.. Starts at 3 sides (triangle) = 180 degrees then goes 4 sides = 360deg, 5 sides = 540deg, 6 sides = 720deg ...... 10 sides (decagon) = 1440deg
To work out interior angels you do the number of sides -2 for example if a shape has 5 sides it would be three and times it by 180 so the answer is a decagon as it has 10 sides so 10 -2 equals 8 then 8 *180 equals 1440
It is not totally right. A triangle has 3 angles and 180 degrees. So what you have to do after dividing 1440 by 8 is to add 2 and it becomes 10-edged polygon.
This is not simple.The formula is the number of sides - 2 x 180.Therefore a Decagon (10 sides) - 2 = 8 sides x 180 = 1440. The Eggs would have needed to do the maths for all polygons to get the correct answer.
The formula n-2(180) is well known to able school children and maths teachers (such as myself) but I fail to see how this should be considered to be an easy question for an average adult.
well my maths is not great but how is it "multiples of 180"? there are no shapes that have an interior angle of 180 you call that a LINE so how can any shape have an interior angle of 180 lol. if anything any shape has an interior angle less than 180 so an educated guess would be 10 as u could say 140*10 is around 1440
+James yes thats not what i meant, its easy knowing the formula but if you dont know the formula you can take an educated guess 8x180 is 1440 but it cannot be 8(hexagon) as no single internal corner of a hexagon has an angle of 180
An 8 sided polygon is an octagon. By your logic I could take an educated guess of 12 and say 120*12=1440 i.e. then say dodecagon (wrongly). 1440=120*12=140*10=180*8
+James octagon i meant sorry. yes but at least u narrowed it down to 2. but with more logic, a 10 sided shape should have a more larger interior angle than a 12 sided shape(a square always has a larger interior angle than a triangle) so it cannot be the 12 sided shape because if a 10 sided shape has to have about 140 to reach about 1440 then a 12 sided shape cannot be 120 as 120x12 is 1440 and the 12 sided shape should have a larger aggregate angle than the 10 sided shape
Stuart sharp well firstly, don't get so aggressive. I see that your first method worked, but I'd like to know why. Secondly, you are completely wrong with your second comment. If the interior angles equal 1440, and there's 10 of them, then each interior angle is 144. This makes each exterior angle 360 - 144 = 216. Multiplied by 10 and you get 2160, NOT 1800. Don't cry.
Each time you add a side to a polygon the the sum of the internal angles increase by 180°
Triangle - 180°
Rectangle - 360°
Pentagon - 540°
Hexagon - 720°
Heptagon - 900°
Octagon - 1080°
Nonagon - 1260°
Decagon - 1440°
The eggheads were on the right path to divide 1440 by 180 to get 8, but their mistake was that you need to add 2 because you start counting from a triangle (3 sided polygon) not from 1 (it not possible to have a polygon with 1 or 2 sides).
I think the funniest bit is Judith telling Barry to do it as well - she clearly didn't trust CJ!
She wanted a second opinion
This is not an easy question for people from a non-science background. It's not general knowledge, and even a mathematician would spend a bit of time working this out. Having said that, I'm surprised Barry didn't realise his method was incomplete given that he has a chemistry degree. I'm even more surprised that Pat nodded when Barry said '8', given that Pat has an engineering degree and chose 'mathematical formulae' as a mastermind specialist subject, in which he gave an amazing performance.
Very simple question? Yep I'm dumber than I thought
(n-2)x180=1440
n-2=8
n=10
But tbf its only simple if you've learned it!
dont worry ur not alone ;-;
The best part is that Pat is a mathematician and was out
+knuckle9 1:39 doesn't he nodd?
+Haus Mash yep. He looks shocked when it's wrong too
I think Kevin knew it but was too polite to say anything.
Apply their logic to a triangle in which the interior angles sum to 180 degrees. They would suggest a triangle is a line. Correct rule is to divide by 180 and add 2 to get the number of edges.
a square is 4x90 degrees
= 360
/180 = 2
+ 2 = 4 yep!
Judith - “c’mon Barry! Do it on your hand” 🤣
Ha, bet that bloody sickened em ! Don't even know why Judith is on it, she ends up getting most of em wrong & the ones she gets right, are mainly guesses ! I like how she didn't even try & answer it, but liked telling the other 2, to do it !
It's called delegation - women are very good at it.
Unless you're a scientist or mathematician that is not an easy question.
beat them even when kevin was on their team. woah!
Very simple question?
I wasn't expecting "What is the capital of England?" but I was expecting a question I at least understood.😂
I guess I'm simple.
Split the shape into triangles and each shape has (n-2) triangles with n being the number of sides so for the decagon (10-2)*180
Never trust anyone who looks like the hooded claw from Penelope pitstop
First make a diagram! They did not notice that a triangle has 3 sides but 180 degrees. Still, maths trumps the devil - "Whose last what?!"
That’s because Daphne wasn’t there.
A polygon has to have a closed chain of straight sides that form a circuit. This is why a Triangle is the first on the list. If the Eggheads had worked it out this way instead of trying to be too clever they would have got the right answer.
1:48 Challengers you have won!
neat trick to calculate the sum of the interior angles of any regular polygon is (n-2)*180 where n is the number of sides e.g,
(10-2)*180=1440
it was sort of a trick question
This proves the only team that stop the eggheads is the eggheads
I think a top quiz team like the Eggheads should memorize things like this, number of degrees in angles how many sides a dodecagon, nonagon have etc. They have fantastic minds for memorizing facts but it looks like, GCSE maths can trump them.
They will of course know what number of sides a whatevergon has - the classical word roots will be part of their daily job. But while it is clear none of them is in any way a mathematician (you can tell by the way they do the division 1440/180) they are getting close to the correct answer, only forgetting one minor detail...
@@Ulkomaalainen That's where you're wrong there - they had two mathematicians there (Barry has a chemistry/maths degree and Pat is a engineer and mastermind starred with mathematical formulae). Despite the fact Pat wasn't allowed with them, it's still a very simple thing to get wrong.
It's simple because this is taught in like year 7 maths.
Lol they were on the right track but forgot that two sided and one sided shapes are not polygons and cannot have interior angles.. Starts at 3 sides (triangle) = 180 degrees then goes 4 sides = 360deg, 5 sides = 540deg, 6 sides = 720deg ...... 10 sides (decagon) = 1440deg
(n-2)x180=1440
n-2=8
n=10
Pat looks really pissed off, but then he always does. I think a smile would kill him.
Pat is an android, he doesn’t have emotions
To work out interior angels you do the number of sides -2 for example if a shape has 5 sides it would be three and times it by 180 so the answer is a decagon as it has 10 sides so 10 -2 equals 8 then 8 *180 equals 1440
That’s not an easy question without knowing the formula y=180(x-2). Doing it in your head can be confusing too.
Would it kill the eggheads to applaud the team for winning
It is not totally right. A triangle has 3 angles and 180 degrees. So what you have to do after dividing 1440 by 8 is to add 2 and it becomes 10-edged polygon.
No, it is decagon. See wikipedia for decagon and you'll see it's defined as having 10 sides with each internal angle equal to 144°
This is not simple.The formula is the number of sides - 2 x 180.Therefore a Decagon (10 sides) - 2 = 8 sides x 180 = 1440. The Eggs would have needed to do the maths for all polygons to get the correct answer.
@takeonme79 It's simple GCSE maths. I knew the answer straight away, and I've not done such maths in about 5 years.
It's "simple" if you know how to work out the answer!
i thought 180 was a straight line so it has to be double what they answered. said it straight away??
A simple question would be which of these shapes has 12 sides.
Congratulatory circuits obviously not wired to smugness receptors...trade off for being intelygent.
The formula n-2(180) is well known to able school children and maths teachers (such as myself) but I fail to see how this should be considered to be an easy question for an average adult.
Simple? I had no idea!
ridiculous, 180 degrees is not an angle at all, it is a straight line
Barry's a plant!
well my maths is not great but how is it "multiples of 180"? there are no shapes that have an interior angle of 180 you call that a LINE so how can any shape have an interior angle of 180 lol. if anything any shape has an interior angle less than 180 so an educated guess would be 10 as u could say 140*10 is around 1440
Ever heard of a triangle? Any polygon of n sides can be split into (n-2) triangles. e.g. a pentagon can be split into 3 triangles.
+James yes thats not what i meant, its easy knowing the formula but if you dont know the formula you can take an educated guess 8x180 is 1440 but it cannot be 8(hexagon) as no single internal corner of a hexagon has an angle of 180
An 8 sided polygon is an octagon. By your logic I could take an educated guess of 12 and say 120*12=1440 i.e. then say dodecagon (wrongly). 1440=120*12=140*10=180*8
+James octagon i meant sorry. yes but at least u narrowed it down to 2. but with more logic, a 10 sided shape should have a more larger interior angle than a 12 sided shape(a square always has a larger interior angle than a triangle) so it cannot be the 12 sided shape because if a 10 sided shape has to have about 140 to reach about 1440 then a 12 sided shape cannot be 120 as 120x12 is 1440 and the 12 sided shape should have a larger aggregate angle than the 10 sided shape
+roggy12345 sory i meant a 12 sided shape has wider angles than a 10 sided shape
omg, even i knew that one
n-2 ×180 10-2 ×180 =1440 10sides = decagon
i like lamp
180 degrees?
Its needs tobe re named big heads.
back to school
obv not
1440 + 360= 1800. 1800/180=10
Easy maths why make it hard with algebra rubbish lol
Stuart sharp where is the logic in your solution? Why add 360?
Sam Stenner why have you just asked that??
If the interior are 1440 what do the Exterior add up to???
Sam Stenner if the interior angles were 540 I would add 360 = 900 divide by 180 = 5 I know it's a pentagon?
Stuart sharp well firstly, don't get so aggressive. I see that your first method worked, but I'd like to know why. Secondly, you are completely wrong with your second comment. If the interior angles equal 1440, and there's 10 of them, then each interior angle is 144. This makes each exterior angle 360 - 144 = 216. Multiplied by 10 and you get 2160, NOT 1800. Don't cry.
FAKE!!!