ok so first question
In pentagon PQRST, the measure of angle P=60, and the measure of angle Q=130. Angle S and angle T are each three times as large as angle R.
a. Find the measures of angle R, angle S, and angle T.
b. Which pair of sides of PQRST must be parallel?
OpenStudy (sleepyjess):
6-+130+R+S+T=540
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OpenStudy (sleepyjess):
whoops should be 60 not 6-
OpenStudy (sleepyjess):
-190 from each side gives us R+S+T=350
OpenStudy (sleepyjess):
S=3R
T=3R
so we know that S+T+R=7R
whitemonsterbunny17 (whitemonsterbunny17):
o.O
OpenStudy (sleepyjess):
following me so far?
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whitemonsterbunny17 (whitemonsterbunny17):
So a is 7R?
OpenStudy (sleepyjess):
almost
7R=350
/7
whitemonsterbunny17 (whitemonsterbunny17):
50?
OpenStudy (sleepyjess):
yes R=50
S=3R
T=3R
so what is the measure of S and T?
whitemonsterbunny17 (whitemonsterbunny17):
S=350/3, right?
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OpenStudy (sleepyjess):
no just 3*50
whitemonsterbunny17 (whitemonsterbunny17):
Ohh xD
150?
OpenStudy (sleepyjess):
yes
OpenStudy (sleepyjess):
not exactly sure how you would make the shape though
whitemonsterbunny17 (whitemonsterbunny17):
Hrm, so S is parallel to T, right?
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Whitemonsterbunny17
I came here about the previous problem you posted about the quadrilateral.
whitemonsterbunny17 (whitemonsterbunny17):
Ohh, yes, what about it? ^.^
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OpenStudy (wolf1728):
I finished my diagram and posted it - I think thank no sides are parallel
OpenStudy (wolf1728):
think THAT
whitemonsterbunny17 (whitemonsterbunny17):
I saw it and I did reply, but why does the book ask directly for what the parallel sides are if none exist?
OpenStudy (wolf1728):
I don't know. Sometimes books, teachers, etc like to ask questions like that.
Things like what is the fourth side of a triangle called? (That sort of thing).
whitemonsterbunny17 (whitemonsterbunny17):
Ohh, okay. That makes sense I suppose.
Thanks again! ^.^
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OpenStudy (wolf1728):
ok you are welcome :-)
whitemonsterbunny17 (whitemonsterbunny17):
Okay, so back to this problem.. S is parallel to T, correct?
OpenStudy (sleepyjess):
ive tried multiple times and i just cant get this shape correct
@wolf1728
OpenStudy (sleepyjess):
with as close as i can get it, it would appear that PQ and RS are parrellel