Question

The supplement of an angle is 3.5 times as large as the angle. Find the angle.

Answer 1

140 and 40

Answer 2

How do I set it up AND work it out?

Answer 3

ok first i ddid 3.5x + x = 180

Answer 4

folowwing me so far?

Answer 5

That's what I had! I got the first part right at least, haha. Next?

Answer 6

ok then factor out the x so that you have x(3.5+1)=180

Answer 7

then its 3.5+1=4.5 so then you have 4.5x=180

Answer 8

then 180/4.5 = x

Answer 9

you get 40 and you are looking for the larger angle so you just subtract 40 from 180

Answer 10

dont forget medals XD

Answer 11

Well... hold on. I'm not used to working it out that way.

Answer 12

ok np how are you used to it becuase i think i remmber what you are talking about

Answer 13

How was I able to distribute the x? The answer is correct, I'm just confused. I think they way I was taught was to cancel out the 3.5... or something.

Answer 14

the*

Answer 15

Oops comma splice, too.

Answer 16

oh yea that stuff....they like to think that way...you can just use algebra i ignored my teachers and did it this way ummm illl try to think of how they were trying to teach it to me give me a sec

Answer 17

Well no, it's fine. I like this way better. It's easier!

Answer 18

thats what i htought >.> makes you actually think of the process...let me see another one and ill help through it again

Answer 19

Okay:

The complement of an angle is 1.5 times as large as the angle.

Answer 20

ok so now we have 1.5 this time instead of 3.5 and we have complementary angles instead of supplementary what is your first step?

Answer 21

So it would be

90-x=1.5x?

Answer 22

that correct now get it in a way that we can work with it

Answer 23

Hmm...

Answer 24

what was the form that i used for the other one? i got all my x's to one side

Answer 25

Okay... so, 180= x+3.5x?

Answer 26

no still just 90 but the right side is correct

Answer 27

OOPS
Haha

Answer 28

lol

Answer 29

I have supplementary on the brain, I guess.

Answer 30

haha np

Answer 31

So it's 90=x+1.5x?

Answer 32

right now what is the next step? (i think this is the part that was confusing to you the last time.)

Answer 33

Well technically there is an understood 1 in front of the first x, so it become 2.5x?

Answer 34

Saying distribute threw me off last time.

Answer 35

right we factored an x out

Answer 36

then what do we have?

Answer 37

x=36?

Answer 38

correct

Answer 39

now depending on what angle they ask for you might need to subtract that from 90

Answer 40

Okay, I think it just wants this one. Thank you so much!

Answer 41

np im happy to help XD