# Angles question help

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#1
Apparently y is 149* but I don't understand why! Please could someone explain how you would work this out, thankyou!
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#2
(Original post by rm715)
y is 149* but I don't understand why!
Lol I did a pun and I didn't notice
1
4 years ago
#3
Interior angles in a hexagon add up to 720.
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4 years ago
#4
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).
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#5
Ahh I get it, thankyou. So a hexagon's interior is just 360x2
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4 years ago
#6
(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 sided polygon is . In this case, so .
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4 years ago
#7
(Original post by rm715)
Ahh I get it, thankyou. So a hexagon's interior is just 360x2

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#8
(Original post by notnek)

I thought it was a dodecagon why did I get it wrong
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4 years ago
#9
(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.
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