Wearing masks help protect not yourself but others as well, it helps the people working at the front line (doctors and nurses) giving them less people to take care. They're human too and you can only take so much.
Masks are a simple barrier to help prevent your respiratory droplets from reaching others. Studies show that masks reduce the spray of droplets when worn over the nose and mouth. You should wear a mask, even if you do not feel sick.
Masks may help prevent people who have C19 from spreading the virus to others. The CDC recommends people wear face masks in public settings, especially when other social distancing measures are difficult to maintain. Wearing a face mask may limit exposure to respiratory droplets and large particles and may help prevent people who have C19 from spreading the virus.
Of course, masks don't make you immortal to getting the virus, but it's still important to wear.