Question

Which is a possible value for x?#

18

15

1

17

Answer 1

@Callisto help pls

Answer 2

it is 21 as the two angles are same i.e 3x-4=47
which makes x=21
these are same as rule for geometry

Answer 3

Angle ABD = Angle BDC (alt. angles, AB//CD)
3x-4 = 47.
Now solve x.

Answer 4

these are alternate angles..along a diagonal

Answer 5

not 21 sorry

Answer 6

x=17

Answer 7

my mistake

Answer 8

wait though how... did u get 17

Answer 9

@karthik_a.k.a_joker
I think @courtneycara17 can solve it.

Answer 10

yeah i wanna learn

Answer 11

3x-4=47
3x=47+4
3x=51
x=51/3
x=17

Answer 12

no they're not alternate angles
if they were then AD must be = BC
be careful !!

Answer 13

Hold on. the sides are not //.

Answer 14

u should have said that...the diagram looks like a parallelogram

Answer 15

16/tan(47)=13/tan(3x-4)
solve this, and you're done ;)

Answer 16

then @mzbc is r8

Answer 17

@mzbc Sorry to ask but may I know why it is tan?

Answer 18

because tan(47)=BC/BD then
16/tan(47)= BC/(BC/BD)=BD
got it?

Answer 19

ok im sooo confuseddddd

Answer 20

@mzbc tan can also be used like this when it is NOT a right angle triangle?

Answer 21

so its not 17?

Answer 22

@Callisto wait, i'm confused too :p

Answer 23

fdhgfdhdfhfdh

Answer 24

Okay :|

@courtneycara17 Wait for a while. Your lovely question confused us :P

Answer 25

i got it :DD

Answer 26

LOL okies

Answer 27

(or at least i think :p)
look: AB=DC
and AD<BC
so angle ABD (B) < angle BDC (D)
if x = 18 : 3x-4>47 false
if x = 17 : 3x-4=47 false
if x = 1 : 3x-4=-1<0 false
thus x= 15
:DD

Answer 28

Why x = 15?!

Answer 29

@Callisto because it is the only option left

Answer 30

...............................................................
Alright, I didn't see the options given.
angle ABD (B) < angle BDC (D)
3x-4< 17
x< 17
Two options left. Wow~
Thanks a ton! @mzbc

Answer 31

no prob :)