Question

NEED HELP: In the figure above, AB=BC, CE=CD, and x=70. What is the measure of 11 years ago

Answer 1

Thats a degree sign next to the x

Answer 2

so you mean x = 70 degrees ?

Answer 3

yes

Answer 4

is the answer 20 ?

Answer 5

the answer is supposed to be 100

Answer 6

okay see

Answer 7

Triangle DCE makes an iscoeles triangle right ?

if < DEC = 70 , then < ECD = 70 too . since base angles of an iscoeles triangle are equal ..
okay , now to find the angle DCE .. it is
( 70 + 70 ) -180 = < DCE
it will be <DCE = 40

angle <DCE is opposite and equal to angle < BCA
therefore angle <BCA = 40

but now if BC = AB
then,
<BCA = <BAC ( cuz base angles of an iscocales triange are the same )

so now you know <BCA and <BAC , you're left with <ABC
180 - (<BCA + < BAC ) = <ABC
180 - (40 + 40 ) = <ABC
180 - 80 = 100
<ABC = 100

Answer 8

if u ddnt get it, tell me i can explain it more clearly :)

Answer 9

yes please, can you explain why DEC=70

Answer 10

I thought DEC was supposed to be a full triangle which added up to 180. Im so confused

Answer 11

<DEC = 70 not Triangle DEC ..

Answer 12

< represents a angle right?

Answer 13

yep

Answer 14

So the x is in angle <DEC?

Answer 15

yep

Answer 16

instead of writing angle we use this sign <

Answer 17

why would that angle be considered <DEC when it is in the corner of <E

Answer 18

you can call it E too :)

Answer 19

<DEC means <E.. the middle letter is always the angle we mean ..

Answer 20

ohhhhh, that I never knew

Answer 21

it happed when you have combined triangles together you can't name the same angle for the two triangles likes

Answer 22

okay so, are AB and BC are referring to lines since there aren't any <'s next to them?

Answer 23

yeah