Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    13
    ReputationRep:
    Name:  image.jpg
Views: 76
Size:  503.2 KBApparently y is 149* but I don't understand why! Please could someone explain how you would work this out, thankyou!
    • Thread Starter
    Offline

    13
    ReputationRep:
    (Original post by rm715)
    y is 149* but I don't understand why!
    Lol I did a pun and I didn't notice
    Offline

    15
    ReputationRep:
    Interior angles in a hexagon add up to 720.
    Offline

    15
    ReputationRep:
    Yeah, interior angles add up to 720, subtract all of those angles from 720 to give 149.

    Also, to work out the sum of the interior angles, you do (n-2) x 180 (because you can split the shape into triangles, technically).
    • Thread Starter
    Offline

    13
    ReputationRep:
    Ahh I get it, thankyou. So a hexagon's interior is just 360x2
    Offline

    22
    ReputationRep:
    (Original post by rm715)
    Ahh I get it, thankyou. So a hexagon's interior is just 360x2
    The sum of the interior angles of an n sided polygon is (n-2) \times 180^{circ}. In this case, n=6 so (6-2) \times 180^{\circ} = 4\times 180^{\circ} = 2 \times 360^{\circ} = 720^{\circ}.
    • Community Assistant
    • Study Helper
    Offline

    20
    ReputationRep:
    Community Assistant
    Study Helper
    (Original post by rm715)
    Ahh I get it, thankyou. So a hexagon's interior is just 360x2
    Now you can try beating the Eggheads to test your understanding:

    • Thread Starter
    Offline

    13
    ReputationRep:
    (Original post by notnek)
    Now you can try beating the Eggheads to test your understanding:

    I thought it was a dodecagon why did I get it wrong
    • Community Assistant
    • Study Helper
    Offline

    20
    ReputationRep:
    Community Assistant
    Study Helper
    (Original post by rm715)
    I thought it was a dodecagon why did I get it wrong
    The formula to find the sum of the interior angles of a polygon is

    Sum = ( Number of sides - 2 ) x 180

    A dodecagon has 12 sides. So for a dodecagon :

    Sum = (12 - 2) x 180 = 10 x 180 = 1800.

    So it can't be a dodecagon.


    By the way, the use of the word 'regular' in this question is unnecessary. Non-regular polygons have the same sum as regular polygons.
 
 
 
Poll
Do you agree with the PM's proposal to cut tuition fees for some courses?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.