Mere looking at the diagram shows that X =30 degrees. Looking at ur set- square wu tell u that Angle 60 degrees is larger than the one shown in the diagram. This is how people fail simple exam. See how they have been proving upon proving since getting 60 degrees

spacyzuma:
It's 60 degrees.



Total sum of internal angles in a polygon = (n-2)*180

For a 12-sided polygon, it's (12-2)*180 = 1800

Thus, each internal angle is 1800/12 = 150.

The next part is hard to explain without diagrams, though.

For the 2 adjacent coins, the sum of their internal angles where they meet is 150 + 150 = 300.

At that point, the total angle is 360 degrees (angle around a point, or in a circle)

Thus, the angle X = 360 - 300 = 60 degrees

Very correct !!...kudos

Help me ask am.... what makes its angle equal

EverestdeBliu:
where did u see the 'equilateral triangle'?

30 degrees

60..

holocron:
This is JSS geometry.

D) 60deg. Angles in a circle = 360. Since there are 12 chords, angle at the inside of each chord triangle is 30, the sides of the chords 75 each (angle inside triangle = 180). Including the ones on the other coin = 75×4 = 300. So x is 60. (Angle round a circle is 360deg)

Yes.. I got 60 degrees.. although I applied a different method.

*******

Since the coins have 12 sides each, it logically follows that the angle each of them will form is 30 degrees [360/12] when a line is drawn from each chord to the centre. Therefore, each base of the drawn triangle will be 30 degrees. Consequently, the angle at the centre will be 120 degrees (180 - [30 + 30]).

I remember a circle theorem which states,

"The angle at the centre of a circle is twice the angle at the circumference if both angles stand on the same arc."

Based on that law, 2X = 120;

X = 120/2;

X = 60 degrees.

Some people just love arguing blindly... It's so obvious the answer is 60.. As a matter of fact,i think the triangle is nothing but a distraction.. TOTAL ANGLE OF EACH POLYGON= (n-2)180, where n is the number of sides of polygon which are 12 sides.. Therefore,(12-2)180= 1800..) EACH INTERIOR ANGLE OF POLYGON= TOTAL INTERIOR ANGLE/NO OF SIDES= 1800/12=150... notice the sides of the polygon were match as well as there angles,creating another angle X.. Angle at a point is 360.. To get X, simply say X=360-(150+150)=60....

For those getting 60⁰, is that angle up to 60⁰?
the answer is 30⁰ QED.

Bibidear:
Rubbish,i am sure the richest men in the world cant solve it

console ur daft self. dis is becoming the new excuse for daftness. those richest men have people dat do thinking like dis if not dey wouldnt be and some of them even have high levels of academic brain like bill gates, alexander vic, and many wall street guys

Penboy:
Grrr!
After seeing this, i wanted to calm down and compose an epistle of abuses for you; but then, that would also mean "throwing gold to the swine".

I know your type in school.
#BlockHeadedFool.

What the richest men know do you also know them??

Mention the richest men in the world and lets see if their knowledge doesn't surpass this sum.

#I.diotFool
#waiting for marriage so that you can sit your lazy ass in husby house and grow fat!
#MadEdiot
#i'm sure you're a school dropout with a kid from an unwanted pregnancy whom you don't even know the father!

If you dare quote me!!
#GRR

oga,thanks so much,u know me very well

x = 30 deg

12 sides === 360 degs

I side = 30 deg

ChokolateBoss:
60 degrees.
Each angle of a polygon = 180(n - 2)/n
For 12-sided polygon, each angle
= 180 (12 - 2)/12 = 150 deg
X = 360 - (150 + 150) = 60

This is the best approach so far.

It is 30 degrees. Chikina.

Smh for Australian Student and our fellow Nigerian who goes their to study.

ChokolateBoss:
60 degrees.
Each angle of a polygon = 180(n - 2)/n
For 12-sided polygon, each angle
= 180 (12 - 2)/12 = 150 deg
X = 360 - (150 + 150) = 60

correct although a faster way is to look at that space where the coins meet as an equilateral triangle with three sides of size 12. so the angle between the coins is then 60 degrees (equilateral triangles have equal angles of size 60deg)

Koolmexxi:
Australian students ko, Ajangbadi students ni... No b new general mathematics b dat

You stay in Ajangbadi.... lol?

babseg:


seriously ?

so u can see the answer

The question is pretty easy that's why I'm kinda surprised they were "baffled' by the question. By the way, the answer is 60°.

Theflint1:
The question is pretty easy that's why I'm kinda surprised they were "baffled' by the question. By the way, the answer is 60°.

prove it

no copy copy

.

More sheet please ....

Sum of angle in a circle = 360
Number of sides/chord = 12
since all sides are equal
360/12 = 30
X=30

nawtibownie:
That area forms an equilateral triangle (three equal sides.) Each angle of a triangle is 60°.
X= 60°

Wee u kip kwayet!!

babseg:


prove it

no copy copy

Clown. I came late to the thread so anything I post as proof would seem like "copy copy." It didn't take me a minute to see the answer though, doesn't require calculations to get the answer.

Now where is your proof that this question baffled Australian students?

This is an intuitive approach as it demands brainwork.The answer is actually 60 degrees.

fippycbk:


Boss, I think we are looking for the angle between the coins. Don't you think?

The angle between the coins is 30°

Exterior angle of a regular polygon = 360 deg/ n; where n=number of sides
for one coin, the exterior angle = 360/12=30deg
the included angle between the two coins = 2 x each exterior angle =2x30=60deg.

xtgozie:


The angle between the coins is 30°

Not true sir. The answer is 60°. I wish I could do an illustration to explain better.

ureach:
I take eye solve am... na issesoless* triangle
Hence 60deg... since 60 * 3 = 180 which is total angle of a triangle!

No sir,an Isosceles triangle have two of its angles equal,not three. 60 * 3 as shown in ur working above is used for an equilateral triangle which have all sides equal.

babseg:


i don tire for all these wuru wuru to answer

The person wey sabi way, na im sabi book jaree.

Australian students must be very dumb. I saw the triangle and I know it's 60 almost immediately.

Kockane:


Please don't vex me this afternoon. I had A1 in my waec and still minored in maths and statistics back in Uni. What is your pedigree in the math world?? The other coin is just a distraction. Look again or explain to me how you arrived at your 60 degrees.

Question 2


What contribution did you made in maths, did you publish any new idea in maths


How come you are unknown with your certificates