Question

In figure, If AB||CD||EF then find the x and AE​

Answer 1

Answer:

hey mate!! i am giving you two solutions ........ any of them look easy by your side ... u can do that one .

here is the solution but you should know that something also be same in both solution..

Step-by-step explanation:

1. solution of your question.......

theorems: the ratio of the intercept made on a transversal by three parallel lines is equal to the ratio of the corresponding intercept made on any other transversal by the same parallel lines.

BD/DF =AC /CE

8/4=12/x

x= 12×4 /8

x=6

now, AE =AC+CE

12+x

12+6

AE=18

thank you

2. solution of your question.......

Intercept Theorem :

If there are three or more parallel

straight lines and the intercepts made

by them on any transversal are equal

then the corresponding intercepts

on any other transversal are also

equal .

***************************************

Here ,

AB // CD // EF ,

CE/AC = DF/DB

=> x/12 = 4/8

=> x = ( 4 × 12 )/8

=> x = 6

AE = AC + CE

=> AE = 12 + 6 = 18

••••

plz mark it as a brainliest answer ........