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Mathematics 24 Online
OpenStudy (anonymous):

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.)

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....

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.

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.

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

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

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

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?

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

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

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