Question

Given: rhombus ABCD with diagonals drawn. AE= 2/3x and EC=x-10Find the value of X

Answer 1

In a rhombus (and in any type of parallelogram), the diagonals intersect in their middle point.

That means the segments AE and EC have the same length.

So we have that:

`\begin{gathered} AE=EC \\ (2)/(3)x=x-10 \\ x-(2)/(3)x=10 \\ (1)/(3)x=10 \\ x=10\cdot3 \\ x=30 \end{gathered}`

So the value of x is 30.