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Mathematics 18 Online
OpenStudy (friendzone):

Part A: Find the missing angles in the Parallelogram (9 points) m ∠ 1 = m ∠ 6 = m ∠ 2 = m ∠ 7 = m ∠ 3 = m ∠ 8 = m ∠ 4 = m ∠ 9 = m ∠ 5 =

OpenStudy (friendzone):

OpenStudy (anonymous):

angle 2 is what?

OpenStudy (friendzone):

50 not good at angles i apologize

OpenStudy (anonymous):

no problem i will tell you angle 2 is equal to the angle on the other side of it

OpenStudy (friendzone):

48

OpenStudy (anonymous):

|dw:1453169553218:dw|

OpenStudy (friendzone):

oh ok

OpenStudy (anonymous):

so lets make a list ok?

OpenStudy (friendzone):

yep

OpenStudy (anonymous):

angle 2: 121 how about angle 3? hint, angle 2 and angle 2 have to add up to 180

OpenStudy (anonymous):

oops i meant angle 2 and angle 3 have to add up to 180

OpenStudy (friendzone):

so its pasted 180 or below i was thinking 169 or 154 or 204

OpenStudy (anonymous):

subtract: \(180-121=?\)

OpenStudy (friendzone):

oh okay 59

OpenStudy (anonymous):

ok so we got angle 2 : 121 angle 3 = 59 angle 4 = 59

OpenStudy (friendzone):

yeah so do you subtract 180 out of the rest

OpenStudy (anonymous):

some yes to find angle 1 we know that angle 1 + 48 + 59 = 180 so what it angle one?

OpenStudy (anonymous):

is it clear how to find it?

OpenStudy (friendzone):

you subtract 48 but im thinking 35 im so confused teachers dont explain it right

OpenStudy (anonymous):

yeah that is a problem you have three numbers that add to 180 one you don't know one is 48, one is 59 to find the one you don't know, subtract \[180-48-59\]

OpenStudy (friendzone):

73

OpenStudy (anonymous):

yup you keeping a list?

OpenStudy (friendzone):

yea so on to 5

OpenStudy (friendzone):

145 ? for 5

OpenStudy (anonymous):

i don't think so angle 5 + 35 + 121 have to add up to 180 since they are the interior angles of a triangle

OpenStudy (anonymous):

|dw:1453170534893:dw|

OpenStudy (friendzone):

it kind looks like a obtuse angle

OpenStudy (anonymous):

makes no difference, the interior angles have to add to 180

OpenStudy (anonymous):

so like the other we find it by subtracting \[180-35-121\]

OpenStudy (friendzone):

my computer frozed

OpenStudy (friendzone):

i got 145 nd 110

OpenStudy (friendzone):

correct me if im wrong

OpenStudy (anonymous):

mine too, i think it is the site

OpenStudy (anonymous):

no not 145 to find angle 5 compute \[180-35-121\]

OpenStudy (friendzone):

24

OpenStudy (friendzone):

nd 35

OpenStudy (anonymous):

24 for angle 5 yes

OpenStudy (anonymous):

angle 6 is the same as angle 1 which we got earlier

OpenStudy (friendzone):

okay ok

OpenStudy (anonymous):

you good from there/? we should have a complete list by now

OpenStudy (friendzone):

i think just 2 more unless they all the same

OpenStudy (friendzone):

7,8,9

OpenStudy (anonymous):

some are the same as what you found already

OpenStudy (anonymous):

for example angle 6 is angle 1 angle 7 is angle that we know is 48

OpenStudy (friendzone):

?7= 121

OpenStudy (anonymous):

no angle 7 is the same as the one we know is 48

OpenStudy (anonymous):

9 is the same as angle 5

OpenStudy (friendzone):

thanks you helped alot i need you too tutor me

OpenStudy (anonymous):

lol you got more?

OpenStudy (anonymous):

also you're welcome

OpenStudy (friendzone):

yep

OpenStudy (anonymous):

you want to post it here? i will helpl

OpenStudy (friendzone):

im trying to take a snapshot of it

OpenStudy (anonymous):

ok

OpenStudy (friendzone):

OpenStudy (friendzone):

OpenStudy (anonymous):

yikes geometry

OpenStudy (anonymous):

TV= UV because TUV is equilateral, that means all sides are equal i guess you are supposed to say "Definition of equilateral"

OpenStudy (friendzone):

mhmm the worst

OpenStudy (friendzone):

nd yep

OpenStudy (anonymous):

RVU = SVT i think that is called "alternate exterior angles" but i suck at geometry , let me look that up

OpenStudy (friendzone):

lol i hate geometry

OpenStudy (anonymous):

maybe it is just called "alternate angles"

OpenStudy (friendzone):

@Photon336 he might can help us geometry sucks

OpenStudy (friendzone):

let me see if i got notes

OpenStudy (anonymous):

oh no i looked it up i was wrong it is called "vertical angles"

OpenStudy (anonymous):

|dw:1453173162156:dw|

OpenStudy (friendzone):

OpenStudy (anonymous):

thanks that was helpful yeah "vertical angles"

OpenStudy (anonymous):

now we need the missing one is F right?

OpenStudy (friendzone):

im sorry im trying to pay attention anything with A G in math im not good at it

OpenStudy (anonymous):

ok the next thing we need to do is figure out the missing step F

OpenStudy (friendzone):

yep

OpenStudy (anonymous):

this is what we know RV = ST TV = UV angle RVU = SVT

OpenStudy (anonymous):

what we can conclude from this is that the triangle on the left TVS is congruent to the triangle on the right UVR

OpenStudy (anonymous):

i believe, since we have two side and an interior angle, you call that SAS

OpenStudy (anonymous):

"side, angle, side"

OpenStudy (friendzone):

line them up nd yes you do lol

OpenStudy (anonymous):

and that pretty much finishes it since they are congruent, corresponding sides are equal i am not sure what that is called, maybe just "definition of congruent triangles" but there might be some other term for it

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