Question

In the figure below, lines m and n are parallel. Which term(s) can be used to describe the relationship between <2 & <4?

Answer 1

does <2 mean angle 2?

Answer 2

yes

Answer 3

if they do, then you can say that they add up to 180 degrees as they lie on a straight line? :)

Answer 4

also, they correspond to angles 6 and 8

Answer 5

:/ Thats not really the answer im looking for

Answer 6

ah okay, sorry

Answer 7

only adjacent

only supplementary

both adjacent and supplementary

neither adjacent nor supplementary
Those are the options

Answer 8

haha Its ok :)

Answer 9

Okay... process of elimination then. First of all, are the two angles adjacent?

Answer 10

Thats what i trying to figure out :S
But i'll guess..
No?

Answer 11

i think they are both adjacent and supplementary? They're on the same side so they are adjacent, and they add up to 180 degrees so they are supplementary i think?

Answer 12

Right!

Answer 13

awesome :D

Answer 14

Ok so it is supplementary?

I think i get it
But i have like

Answer 15

6 more questions to ask

Answer 16

They're adjacent because they share a common side (the horizontal line) and vertex (the point of the angles), and any two angles that add up to 180 degrees are supplementary.

Answer 17

so adjacent & supplementary? O_O

Answer 18

Or just adjacent?

Answer 19

both!

Answer 20

They're both... because line m is a straight line that crosses through the horizontal line. If there was no horizontal line and angles 2 and 4 were combined into one angle, it would just be the right side of line m, thus 180 degrees.

Answer 21

Ohh ok

Answer 22

wanna stick around to help me with some more?

Answer 23

I'll try! Fire away.

Answer 24

Haa life saver!

Answer 25

ok

Answer 26

angle 1 corresponds to angle 5. you can tell angle 5+angle 8=180, as they lie on a straight line. so, if angle 8 is 31 degrees, angle 5 is 180-31=149.
since angle 1 is the same as angle 5, angle 1 also equals 149!

Answer 27

Yep. Angle 8 = angle 4, and angle 5 = angle 1. This is only true if the horizontal lines are parallel (I'm guessing we can assume that they are).

Answer 28

Oh ok
So take a look at at where angle 1 is thats an obtuse angle right?
if so isnt that an easier way to find the answer because its greater than 90 & less than 180 degrees?

Answer 29

yes it is, i didn't think of that :)

Answer 30

LOL Ok :)

Answer 31

would the answer for this be 2?

Answer 32

Good point! But you can only TECHNICALLY know that by knowing the lines are parallel and knowing the corresponding angles. By knowing that angle 4 corresponds to 8, so they're both 31 degrees, and they're supplementary to 1 and 5, that tells us that 1 and 5 have to be obtuse, and there's only one answer that fits that description.

Answer 33

Oh ok

Answer 34

angle 3 :)

Answer 35

Ahh
Soo close

Answer 36

For that one, you want the angle that matches angle 7... that is, to the right of the vertical line, and below the horizontal. So, yes, 3. :)

Answer 37

i think you should read this, it will help you understand it more :)
http://www.mathsrevision.net/gcse/pages.php?page=17

Answer 38

Ohh
Wow
I'm starting to get the concept of this

Answer 39

Just remember that it's like a puzzle... all the pieces HAVE to fit together somehow! :) It's just a matter of figuring out how they fit together, and the terminology for the different relationships. Knowing those terms and how the relate the parts of the puzzle is what helps you put them together.

Answer 40

Haha i will remmeber that
Soo for this question the answer would be 2?

Answer 41

BEcause congruent means the same?

Answer 42

Right! Congruent just means they're the same angle. Corresponding is similar, but it has to do with where they sit in relation to the lines. They can be corresponding, but different sizes. Congruent must be the same size.

Answer 43

yes!

Answer 44

Yay! :)

Answer 45

youre getting the hang of it now :D

Answer 46

IKnow :)
Im not the best in mats

Answer 47

maths

Answer 48

You can be if you practise :)

Answer 49

Hopefully
& how many degrees does an acute angle add up to?

Answer 50

anything under 90 degrees :)

Answer 51

but more than 0!

Answer 52

It's cheesy, but I always remembered that by the saying, "Aww, that's acute (a cute) little angle." LITTLE being the operative word there... less than 90, like Zara said. (And yes, more than 0!)

Answer 53

That's how i remember it too!

Answer 54

ehhh :/
& Lol wow
Well i once went to school & since i became homeschooled its like everyhing went downhill I seriously cant learn like this

Answer 55

This is why i asked

Answer 56

do you need the answer?

Answer 57

Yeah because i was trying to figure it out
but i became blank
:(

Answer 58

aah, well <2 is on a straight line with <3, so it's 3!

Answer 59

but i do know it has to add up 10 180
because its a supp. angle right?

Answer 60

yes :)

Answer 61

just remember that angles on a straight line always add up to 180 :)

Answer 62

:DD

O
M
G Thank you

Answer 63

Haha, you're very welcome!

Answer 64

I need one more

Answer 65

and thats it :3

Answer 66

okay :)

Answer 67

supplementary?

Answer 68

yes :)

Answer 69

:O YAY
Is it because all both of the angles are right angles
& Right angles = 180?

Answer 70

no, you can't assume things like that! it's because <8 corresponds to <4, and <2 and <4 lie on a straight line. Therefore they equal 180 degrees :)

Answer 71

Ohhh :)
I get it now thanks a million!

Answer 72

You're very welcome! :)

Answer 73

:) Byee
Have a nice day