whats the total degree of?

Question

a) hexagon
b) octagon
c)pentagon
d)parellelogram
e)trapizoid

Answer 1

Use the formula:
(n-2)(180), where n is the number of sides of the polygon.
The above formula gives you the sum of the interior angles.
For instance, a hexagon has 6 sides.
(n-2)(180) = (6-2)(180) = (4)(180) = 720 = sum of the interior angles.

Answer 2

This is a good trick:

For each of the polygons you listed, first pick a vertex, any vertex. Now draw a line to every other vertex (always starting on the one you first picked). The polygon now has a bunch of triangles in it. Since you know the total internal angle of a triangle is 180, just multiply the number of triangles by 180.
a)720
b)1080
c) 540
d) 360
e) 360

Or you could use the formula:
Total angle = (# of sides - 2) * 180

Answer 3

If you don't like formulas a very easy way to remember is to look at the number of sides and it will always increase by 180.

I've always used this as an instant shortcut in my head like a times table.

3 sides = 180
4 sides = 360
5 sides = 540
6 sides = 720
7 sides = 900
8 sides = 1080
9 sides = 1260
10 sides = 1440

I suggest you prove this right and then feel free to use a shortcut of your choice. once you know its right you'll be confident to always use it.

Answer 4

Agree with mathgirl

Answer 5

a)720
b)1080
c) 540
d) 360
e) 360

Answer 6

Try this site...

http://regentsprep.org/Regents/math/poly/LPoly1.htm