NO2+, NO2, NO2-
First draw the NO2 lewis structure. You will have 1 unpaired electron on Nitrogen. (The total valence electrons is odd= 17). The molecule is in fact bent. Think about the unpaired electron as 1 electron domain, plus other 2 bonds, you will have the total of 3 for electron domains. Therefore the hybrid for Nitrogen is sp2, and the ideal bond angle is 120, BUT
the one lone electron exerts a less repulsion than normal on the two bonding oxygen atoms so they are able to spread out more to a 134 bond angle from the ideal of 120.
For NO2-, again the molecule is bent with the ideal of 120. But here you have 1 lone PAIR on nitrogen. They will take up more space than 1 unpaired electron or bonding electrons. That makes the bond around 115. You don't have to know the exact degree, as long as you know the bond angle of NO2 is larger than NO2-, it would be enough.
Now for NO2+, the molecule is linear. The total valence es is 16. That makes nothing left on nitrogen atom. The ideal angle for linear is 180.