In the diagram below, BD is parallel to XY. What is the value of x?
Note: BD and XY have the little line over them but I have no idea how to put it.
(Picture below.)
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OpenStudy (anonymous):
OpenStudy (anonymous):
I'd say 55. Am I right? Or it's 125?
OpenStudy (anonymous):
HINT: x and 125 are supplementary...
OpenStudy (aripotta):
OpenStudy (anonymous):
ur correct....
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OpenStudy (anonymous):
How do I know if they're supplementary?
OpenStudy (aripotta):
because it's a straight line
OpenStudy (aripotta):
they're a linear pair
OpenStudy (geometry_hater):
It would add up to equal 180
OpenStudy (anonymous):
How do I know if I should put 55 or 125 because last time I did a problem like that and the answer was the same as 125.
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OpenStudy (aripotta):
it's 55
OpenStudy (aripotta):
i did the math on that pic i posted
OpenStudy (anonymous):
Does it have to do with the lines?
For example this question:
OpenStudy (geometry_hater):
Its the lower angle
(It looks smaller so it has to be 55)
OpenStudy (anonymous):
^ The answer for that one was 67.
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OpenStudy (aripotta):
right, because those angles were alternate exterior angles
OpenStudy (anonymous):
Supplementary lines: subtract from 180.
Alternate exterior angles: the same as the other line.
Am I right?
If yes, how do I know the difference from both of the different lines?
OpenStudy (aripotta):
OpenStudy (aripotta):
that shows congruency
OpenStudy (aripotta):
and any angles who are on a straight line add up to 180
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OpenStudy (aripotta):
because, it's a straight line and straight lines are 180 degrees
OpenStudy (aripotta):
does that make sense?
OpenStudy (anonymous):
I think so... Okay, let me see if I've got it. Okay, so for that one... That's a Alternate exterior angle?
OpenStudy (aripotta):
those are corresponding angles
OpenStudy (geometry_hater):
X is corresponding
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OpenStudy (aripotta):
they are congruent too though
OpenStudy (anonymous):
See... That's what I don't understand. How do you guys know they are congruent.
Sorry. i'm stupid. :/
OpenStudy (aripotta):
look at the pic i posted
OpenStudy (aripotta):
it shows all angles that are congruent
OpenStudy (geometry_hater):
All lines are 180.
So whenever we have an angles like that they will always equal 180 degrees together
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OpenStudy (anonymous):
Wait... I'm thinking haha.
OpenStudy (anonymous):
Okay, so if they're congruent that means they have the same number right? 110 would be the answer for that one?
OpenStudy (aripotta):
yea
OpenStudy (geometry_hater):
Thats right
OpenStudy (anonymous):
Okay so for this one it isn't congruent am i right? so the answer would be 75?
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OpenStudy (aripotta):
those are congruent
OpenStudy (aripotta):
they are also corresponding angles
OpenStudy (geometry_hater):
They are corresponding because they are in similar places
OpenStudy (anonymous):
AHHHHHHHHHHHHHHHHHHH. I DON'T GET THIS.
OpenStudy (aripotta):
:/ i'm not sure how to explain it
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OpenStudy (geometry_hater):
Hmm hold on
OpenStudy (geometry_hater):
|dw:1349397323829:dw|
1 and 5 would be corresponding angles because they are in the same places