Here's why:

* Central Atom: Chlorine (Cl) is the central atom.

* Valence Electrons: Chlorine has 7 valence electrons, and each fluorine (F) has 7. Since the molecule has a +1 charge, we subtract one electron. This gives us a total of 20 valence electrons to distribute.

* Bonding: Two single bonds are formed between the chlorine and each fluorine atom, using 4 electrons.

* Lone Pairs: The remaining 16 electrons are distributed as lone pairs on the chlorine and fluorine atoms. Chlorine has 3 lone pairs, and each fluorine atom has 3 lone pairs.

* Molecular Geometry: According to VSEPR theory, two bonding pairs and three lone pairs around the central atom result in a linear shape.

Therefore, the ClF₂⁺ molecule has a linear shape with a bond angle of 180 degrees.