Question

What are the missing measures?

(pic below)

forty-eight degrees, one hundred ninety-two degrees

sixty degrees, two hundred forty degrees

eighty degrees, three hundred twenty degrees

one hundred eighty-eight degrees, forty-seven degrees

Answer 1

Ok so I did 105 + 130 + 120 + 125 = 480

Answer 2

And now I do 4x divided by 480 right?

Answer 3

Sum of angles of a polygon = 180(n-2)
Where n is the number of sides

Answer 4

There is no 'n' only two x'es though. ;;

Answer 5

The polygon in the figure has 6 sides and is a hexagon
So,
Sum of its all angles will be equal to 720
Now,
480+5x=720
=>5x=240
=>x=240/5=48°

Answer 6

wait !
let me elaborate it a lill more

Answer 7

The figure is hexagon...ryt ?

Answer 8

Uhm, Yes, it has 6 sides.

Answer 9

What will be the sum of its all angles ?

Answer 10

Um.. 720?? I think?

Answer 11

yes..but how can u say that ?

Answer 12

I don't know D: I'm really confused, like, how did you find that out??

Answer 13

You can use this formula
\(\color{blue}{\text{Originally Posted by}}\) @Abhisar
Sum of angles of a polygon = 180(n-2)
Where n is the number of sides
\(\color{blue}{\text{End of Quote}}\)

Sides in a hexagon is 6, so
180(6-2)=720

Answer 14

Got it ?

Answer 15

OHHH i get that.

Answer 16

Now just make an equation
130+120+125+105+4x+x=720
=>5x+480=720
=.5x=240
=>x=240/5
=>x=48

Answer 17

Ohhh but were did you get the 5x??

Answer 18

x+4x=5x

Answer 19

OHHH

Answer 20

So, we can derive an equation connecting the number of sides and total angle:

Total angle of a Polygon with n sides = (n-2) x 180

Answer 21

@Cydney_Morgan
Have u learned solving problems on linear equations ?

Answer 22

No, not at all.

Answer 23

Hmmm..let me find something for ya

Answer 24

Ok, thank you for teaching me!

Answer 25

http://www.purplemath.com/modules/solvelin.htm

This might help u !

Answer 26

Oh ok! I see! I know how to do that, I just did not know thats what they were called.

Answer 27

oh..i see !

So 4x+x =5x
4x+6x= ?

Answer 28

Were did you get the 6 from??

Answer 29

I am just asking u...a separate question..

Answer 30

OHH ok I see :D Give me a moment.

Answer 31

10x??

Answer 32

Is that wrong?

Answer 33

yes it's correct..but that's too much time u took :(

Answer 34

I'm sorry, I got confused for a moment. :c I thought I needed to find out what 10x was. :/

Answer 35

\(\color{blue}{\text{Originally Posted by}}\) @Abhisar
5x+5x=100
=> x= ?
\(\color{blue}{\text{End of Quote}}\)

Answer 36

10x = 100?? But I need to find out what x is right?