In the Given figure, DE II BC. Which of the Following is True? - Bzziii

In the given figure, DE II BC. Which of the following is true? (a) x = \frac{"a + b"}{"ay"} (b) y = \frac{"ax"}{"a + b"} (c) x = \frac{"ay"}{
In the given figure, DE II BC. Which of the following is true?

(a)  x = \frac{"a + b"}{"ay"}

(b) y = \frac{"ax"}{"a + b"}

(c) x = \frac{"ay"}{"a + b"}

(d) \frac{"x"}{"y"}=\frac{"a"}{"b"}

(c) x = \frac{"ay"}{"a + b"}

Explanation:

"AE"/"AC" = "DE"/"BC"

= "a"/"a+b" = "x"/"y"

= "ay"/"a + b" = x

= x = "ay"/"a + b"

So, the correct answer is option (c) x = \frac{"ay"}{"a + b"}`