Answer:
DE=25
Angles CDE & CAB are equal since they are alternate angles.
Step-by-step explanation:
Triangle CDE is an reduction of triangle CAB.
Reduction Ratio=[tex] \frac{15}{24}\\
length \ DE=\frac{15}{24}*40\\
=40
[/tex]
Angles CDE,CAB relationship- the two angles fall on opposite relative sides of two parallel lines are therefore equal.