Question

Help find x.

Answer 1

ok

Answer 2

yes

Answer 3

ohh its getting into my mind

Answer 4

ok

Answer 5

Ugh, I messed up on one of the angles.

Answer 6

But I'm already starting to see a problem with it. I'm going to see what @hartnn can do to help.

Answer 7

ok

Answer 8

ok, let the central point be O
can you fin angle AOB ?
use the fact that angles in a triangle add upto 180 degrees

Answer 9

well because a triangle equals 180 degrees so 70 + 60 = 130
180 -130 = 50 degrees

Answer 10

@hartnn, you don't have to say what it is, but I'm just curious to know...Have you already figured out what x equals using your own methods?

Answer 11

correct!
so, angle DOE also 50 degrees! because < DOE and < AOB are vertical angles

now, i have a bit lengthy method,
find angle ADO first, similarly find EOB
do u know how to ?

Answer 12

yeah....using the fact that interior angles in a quadrilater add upto 360 degrees

Answer 13

I already know that, but that didn't really help. The angles are all different.

Answer 14

let me do it on paper...

Answer 15

50 + x = 180
x = 130 degrees <AOB

Answer 16

and for DOE has to be 40 degrees

Answer 17

am I right?

Answer 18

ohh ok I might be able to do the question by my self I know how to do it from here thaks @hartnn and @Hero

Answer 19

@hartnn, did you set up a system of equations to solve it?

Answer 20

yeah, i used angle C too....
the angle BDE was giving trouble, but i think we get 2 equation and 2 unknown
angle BDE and x

Answer 21

I got 20 degrees for the answer tell me if im right?

Answer 22

i can explain.

Answer 23

sure, go ahead

Answer 24

ok first you remember that we got 130 degrees for <AOB right
so because angle DOE is a supplementary angle it should be 180 - 130 = 50 degrees am i right?

Answer 25

yes

Answer 26

then you can find the answer <DEO = 30+x = (180-80)/2 = 50
so x = 20 degrees

Answer 27

sorry, didn't get you...

Answer 28

@hartnn, I already tried using the quadrilateral sum of angles rule. I got nowhere bro.

Answer 29

Like I said, I tried setting up a system of equations. But it didn't work

Answer 30

yeah, i got 2 equation, when simplified they were exactly same :P

Answer 31

Yep, same thing happened to me. So you haven't solved it yet. Good. At least we're on the same page.

Answer 32

When I said I ran into a problem earlier, this is what I was talking about.

Answer 33

there should be more info given.....?

Answer 34

its hard right?

Answer 35

I wouldn't use "hard" to describe this problem

Answer 36

wait lets do this then we have this figure right?

Answer 37

lets make more lines like this

Answer 38

thats all we know yet...