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 =
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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
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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
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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
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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 \[180-48-59\]
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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
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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
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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
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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
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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
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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
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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):
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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
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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
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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?
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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
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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