Question

The question is is the picture

Answer 1

CE = 25

Explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides, then id divides those sides proportionally, that is

`(BE)/(CE)` =
`(AD)/(DC)` ( substitute values )

`(35-CE)/(CE)` =
`(8)/(20)` =
`(2)/(5)` ( cross- multiply )

2CE = 5(35 - CE)

2CE = 175 - 5CE ( add 5CE to both sides )

7CE = 175 ( divide both sides by 7 )

CE = 25