liamlarner
Badges: 12
Rep:
?
#1
Report Thread starter 2 years ago
#1
Attachment 698308 so i am revising 9-1 GCSE Edexcel and i am stuck on this question on the Higher tier from the May 2017 exam and i am stuck on this question can someone help please
0
reply
liamlarner
Badges: 12
Rep:
?
#2
Report Thread starter 2 years ago
#2
Name:  IMG_0586.jpg
Views: 191
Size:  498.7 KB This is the question
0
reply
James2138
Badges: 12
Rep:
?
#3
Report 2 years ago
#3
(Original post by liamlarner)
Name:  IMG_0586.jpg
Views: 191
Size:  498.7 KB This is the question
Find one interior angle of the square (90 degrees obviously), then interior angle of one of the 12 sided shape (150 degrees). Then subtract that by 360 degrees to get 120 degrees, which is an interior angle of the hexagon.

Tip: Use (180(n - 2) )divided by n
0
reply
RDKGames
Badges: 20
Rep:
?
#4
Report 2 years ago
#4
(Original post by liamlarner)
This is the question
Show that \angle ABC is the interior angle of a regular hexagon and there you have it.

Begin by finding the interior angle of the dodecagon and working from there.
0
reply
iow16
Badges: 7
Rep:
?
#5
Report 2 years ago
#5
Exterior angle of a 12 sided shape is 30 degrees since 360/12= 30. If you draw this on the diagram you will see that this angle can go through a square. The angle in a square is 90 so (90-30) = 60 degrees. Angles in a straight line sum 180 so 180-60 = 120. Interior angles of a regular hexagon are 120. Rearrange the formula 120= 180(n-2)/n to prove this. (You’ll get n=6) I hope this helps let me know if you don’t understand any of it
0
reply
liamlarner
Badges: 12
Rep:
?
#6
Report Thread starter 2 years ago
#6
(Original post by iow16)
Exterior angle of a 12 sided shape is 30 degrees since 360/12= 30. If you draw this on the diagram you will see that this angle can go through a square. The angle in a square is 90 so (90-30) = 60 degrees. Angles in a straight line sum 180 so 180-60 = 120. Interior angles of a regular hexagon are 120. Rearrange the formula 120= 180(n-2)/n to prove this. (You’ll get n=6) I hope this helps let me know if you don’t understand any of it
i dont understand so what do i do/write in my answer to get 4/4 marks
0
reply
Loci Pi
Badges: 16
Rep:
?
#7
Report 2 years ago
#7
(Original post by liamlarner)
Name:  IMG_0586.jpg
Views: 191
Size:  498.7 KB This is the question
Find the interior angle of the polygon. Other comments have explained to formula to use to do this.

Then do 180 - interior angle = exterior angle of polygon.

Then find the number of sides by doing:
number of sides = 360 divided by exterior angle.
0
reply
liamlarner
Badges: 12
Rep:
?
#8
Report Thread starter 2 years ago
#8
im confused how do you find the interior angle
0
reply
Loci Pi
Badges: 16
Rep:
?
#9
Report 2 years ago
#9
(Original post by liamlarner)
im confused how do you find the interior angle
Sum of interior angles = 180 x (n-2) where n is the number of sides

So one interior angle of regular polygon = (180 x (n-2)) divided by n.

Find interior angles for square and 12 sided polygon using formula.

Do 360 - interior angle of square - interior of 12 sided polygon to find interior of your polygon, p. (360 around a point).

Do 180 - interior angle to find exterior angle.

Divide 360 by exterior angle to find number of sides.

If number of sides = 6 the shape is a hexagon, proof complete.
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

Current uni students - are you thinking of dropping out of university?

Yes, I'm seriously considering dropping out (66)
14.9%
I'm not sure (16)
3.61%
No, I'm going to stick it out for now (148)
33.41%
I have already dropped out (8)
1.81%
I'm not a current university student (205)
46.28%

Watched Threads

View All