Given:
It is given that the lines AB and DE are parallel.
We need to determine the value of x.
Value of x:
Let us use the property of similar triangles.
Thus, using the similar triangles, the corresponding sides of the triangle is given by
![(AB)/(ED)=(BC)/(CD)](https://img.qammunity.org/2021/formulas/mathematics/high-school/2ztby10cjw9d91pmxjpqjvl7uppp0n1kvm.png)
Substituting AB = 10, ED = 6, BC = 14 and CD = x in the above expression, we get;
![(10)/(6)=(14)/(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/1whem2v8yfk01dgic1a3xuw1h9uka098qz.png)
Cross multiplying, we have;
![10x=14* 6](https://img.qammunity.org/2021/formulas/mathematics/high-school/j0w4m4zlmj9lau1jgrsyjchozmbp66x2l7.png)
![10x=84](https://img.qammunity.org/2021/formulas/mathematics/high-school/x1zzia8e429wfhnd3gixdsgxmxpandxw0r.png)
![x=8.4](https://img.qammunity.org/2021/formulas/mathematics/high-school/r085h4gk6gbrageu6qanb9yy5ts2ma4ue6.png)
Thus, the value of x is 8.4