Question

in the given figure find the value of x if ab parallel to dc​

Answer 1

we know that

the trapizem dignol ratio is equal

$\frac{(x + 5)}{(x + 3)} = \frac{(x - 1)}{(x - 2)} \\ (x + 5)(x - 2) = (x + 3)(x - 1) \\ {x}^{2} - 2x + 5x - 10 = {x }^{2} - x + 3x - 3 \\ 3x - 10 = 2x - 3 \\ 3x - 2x = - 3 + 10 \\ x = 7answer$