Question

LIL HELP PLZZ MEDAL AND FAN

Answer 1

How many sides are there?

Answer 2

11 sides

Answer 3

recount please

Answer 4

there are 10 sides, not 11.

Answer 5

10?

Answer 6

yes, 10 sides.

Answer 7

ok

Answer 8

The assumption is that this is a regular polygon, because otherwise there is no way to figure out the value of x.

You need to find the inner angle (each of the angles inside the shape is same). This [inner] angle of the shape is supplementary with x.

Answer 9

The formula for finding an inner angle of a regular polygon with \(n\) sides is:

\(\large\color{black}{ \displaystyle \frac{(n-2)\times 180}{n} }\)

Answer 10

(( in your case, there are 10 sides, so \(n\) is 10 ))

Answer 11

do we need to simplify ?

Answer 12

yes, you need to plug in 10 for \(n\) into the formula \(\large\color{black}{ \displaystyle \frac{(n-2)\times 180}{n} }\)

this will get you the interior angle of the shape

Answer 13

of the polygon*

Answer 14

ok

Answer 15

when you find the interior angle say what you got

Answer 16

ok

Answer 17

18n-36?

Answer 18

\(\large\color{black}{ \displaystyle \frac{(\color{red}{\rm n}-2)\times 180}{\color{red}{\rm n}} }\) (in your case)\(\large\color{black}{ \displaystyle ~\Longrightarrow~~~~\frac{(\color{red}{\rm 10}-2)\times 180}{\color{red}{\rm 10}} }\)

Answer 19

144?

Answer 20

yes

Answer 21

thats the last answer?

Answer 22

you found the interior angle (which is supplementary with \(x\)), now you need to find the x

Answer 23

ok

Answer 24

What do you know about supplementary angles? (if you don't know what I want you to say, it is ok)

Answer 25

hahaha