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A i think is 180
thats right, ONE straight angle makes 180
so, 'n' straight angles make '180n' angle
is that clear ha
c is 360
lets take one thing at a time :)
and i thing that d is a regular polygon
:) so in dont forget
you're right mostly :) lets do these one by one okay :D
a) sum of n straight angles = 180n
b. What is the sum of the measures of the n interior angles? you have any ideas for this ?
is it 180
nope, sum of measures of n interior angles = 180(n-2)
remember that formula ha ?
oh i did nt know you were wanting the formula
question asks about formula oly cuz it asks for "n" anlges. it doesnt say whats n
yea i know about (n-2)180
good :) then move on to c (i can explain how it is (n-2)180... but its not required to knw for this problem )
how u got 360
c. Using your answers above, what is the sum of the measures of the n exterior angles?
it wants you to use a, b answers to get 360
wait i mis read that
no, you have read it correctly. oly thing missing is, you need to use a, b to prove sum of exterior angels equals 360
u shouldnt simply say its 360, you need to prove it
how do i do that
il show the complete solution, see if u can understand it
its simple and short, so nothing to wry ok :)
From a, we have :- sum of n straight angles = 180n
but, it is given that "interior angle + exterior angle = 180"
so, sum of exterior angles + sum of interior angles = 180n
sum of exterior angels + 180(n-2) = 180n
sum of exterior angels = 180n - 180(n-2)
no dont do that
sum of exterior angels = 180n - 180(n-2) = 180n - 180n + 360 = 360
hope u see lol
oh yea ok i see
:) takes time im sure
yea it was confusing
first time its confusing
go thru again and again, just dont give up cuz its worth the time...
and if i keep having issues ill keep asking you lol
sure il be happy to assist a brilliant student like u :)
was i right about it being a regular polygon
what we proved ?
we have proven that "sum of exterior angles = 360"
letter D. yes
its called "Polygon Exterior Angle Sum Theorem"
so we have proven that theorem :)
oh ok but is it a regular polygon
it works for ANY polygon
irregular or regular - it doesnt matter
how many degrees a circle has ?
if u start from the start, it takes 360 degrees to come back to start position
in any polygon, the same thing happens.
when ever u bend, you always bend some oly. by the time u get back to start, u would have bent 360. i knw these make no sense to u lol
just gimme 2 mnts, il try to explain, u try to pay attention... see if we can work these out ok
imagine, you standing at that black dot.
alright im at the black dot
walk right a bit
when u hit that corner, stop.
you need to take a bend, cuz u want to walk along that pentagon.
thats ur first bend
now tell me this, how many times u need to bend, before u come back to where u started ?
almost right, but its 5 times actually. u missed the last bend.
well you go around 5 lines
so you complete a full circle when u go along a polygon
a full circle is always 360. it DOESNT matter how many times u bend. u have to bend a full 360 to come back.
if the polygon has more sides, u wil be bending more times. but each time u wil bending oly a little
if the polygon has few sides, u wil be bending oly few times. but each time u wil be bending a more angle.
its okay if u dont get it, i can understand... move on :)
i am slowly understanding