Step 1: Understanding the Concept
The shape of a molecule depends on the number of bond pairs and lone pairs on the central atom.
Step 2: Boron in BCl3
Boron has 3 valence electrons and forms three B-Cl bonds. There is no lone pair, so there are three electron pairs and the hybridisation is \(sp^2\).
Step 3: Result
Three pairs spread as far apart as possible in one plane, at \(120^{\circ}\) to each other. The shape is trigonal planar.
Final Answer:
The Cl-B-Cl angle is 120 degrees and the shape is trigonal planar, which is option (D).
\[ \boxed{\text{(D) }120^{\circ}\text{ and trigonal planar}} \]