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Please show steps on how to solve.

obtuse angles but idont know about a polygon with obtuse angles

the answer is supposed to be 10 sides
how do you solve that?

decagon?

We'll get there ... follow me in logic first

ok

What's the sum of angles of a square?

180 (4-2) =
360

360 ofcourse.as all angles are 90

the polygon in question has 10 sides

^ why?

i know how to do that, how do you solve when you dont know the number of sides?

For your problem, set that equal to 144 and solve for n.

so, James J, i do 180 (n-2) / n = 144
144-180+2= n/n?

NOPE THATS NOT RIGHT ^

i dont understnad..

OH WOW
I GET IT!

sooo 180( n-2) = 144n
wiat no, what do i do now?

...hence
\[ 180n - 360 = 144n \]
Now?

expand the brackets hellobudy

nope.. now what?

-360 = -36
and then you divide 360 by 36
and you get ten

right,
\[ 36n = 360 \]
hence
\[ n = \frac{360}{36} = 10 \]

k i think i get it..

thank you!

ok! can you give me another example so i can practice? use a different degrees?

ok ill try with 100 degrees

No, that won't work. One sec.

try 108 degrees

ALRIGHT :)

5 sides?

yes

:D

last one, 162 degrees

20 :)

what about for 180 degrees?

huh?

idk waht your asking

It would look like a circle.

thanks :)

g2g

Here's an even better picture of this idea:

thanks!

Great job JamesJ - and way to hang in there hellobuddy!