Question

Please help me with my math problem.

Answer 1

I know the answer, because I have the answer key, but I do not know how to get there.

Answer 2

so how you see there on this posted attached image there are two parallele lines intersected by a transversal line - for you can solve your posted problem you need to know the theorems of alternate internal/external angles

do you know these ?

Answer 3

i would help buttt i aint got my note book rn cuz im not in school till tmr

Answer 4

yes, i know when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent . And when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent .

Answer 5

ok in this image what are congruent angles ? what you can use to solve the problem

Answer 6

I don't know, Im sorry

Answer 7

ok i gtg. - sorry - but i will come back in a few moments - i will explain it to you -

Answer 8

ok

Answer 9

hi nobody dont helped again here on this ???

Answer 10

I dont know how to do it

Answer 11

using the alternate interior -exterior angles congruentcy

Answer 12

using these

<BCD = <CDE

yes ?

Answer 13

..yes

Answer 14

<EDF = <CBD

yes ?

Answer 15

I think
yes

Answer 16

<ABD + >EDF + <CDE = 180°

yes ?

Answer 17

sorry <EDF

Answer 18

oh ya
@marsden

Answer 19

@Laylalyssa do you understand it now ?

Answer 20

kind of yes

Answer 21

<BCD +<ABD + <EDF = 180°

and from this equation plus this above wrote equation you can calcule the x value

Answer 22

<ABD + >EDF + <CDE = 180°
<BCD +<ABD + <EDF = 180°

Answer 23

from these result <CDE = <BCD

yes ?

Answer 24

yes yes

Answer 25

<ABD = 3x +4
<BCD = 6x -8
<EDF = 7x -20

<ABD + >EDF + <CDE = 180°
<BCD +<ABD + <EDF = 180°

<CDE = <BCD

Answer 26

oh

Answer 27

3x +4 + 7x -20 + 6x -8 = 180
6x -8 + 3x +4 + 7x -20 = 180

solve one equation for x

Answer 28

16x -24 = 180

16x = 204

x = 204/16 = ?

Answer 29

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
using these

<BCD = <CDE

yes ?
\(\color{#0cbb34}{\text{End of Quote}}\)
how?

Answer 30

opposite angles on the other side

Answer 31

@darkknight ok ?

Answer 32

yeah yeah my b

Answer 33

3x+4+7x−20+6x−8=180
3x+4+7x+−20+6x+−8=180
then to do the like terms thing..
(3x+7x+6x)+(4+−20+−8)=180
16x+−24=180
16x−24=180
16x−24+24=180+24
16x=204
16x/16=104/16
so then would it be x=51/4
?
right or no

Answer 34

yes

x = 12,75

Answer 35

oh

ok

Answer 36

and now ?

Answer 37

<BCD = 6x -8

<BCD = ?

Answer 38

questions ?

Answer 39

no, just plug in the value of x into the expression for angle BCD to find the angle measure.
Good job Jhonyy and Layla

Answer 40

thanx

Answer 41

ty

Answer 42

and ty @Laylalyssa for your collaboration

Answer 43

np