Google Map Api v2 doesn’t work since Google Play Services update
By checking the internet for the other people who encountered the same problem of yours, in updating Google Play Service to 9.0.83. I found a discussion here on how to solve that problem. You can try to check it, if it can help you.
Some solution is by checking if you have enabled offline work for gradle, deselect Offline Work if it’s checked. Then, confirm if you have latest version of Google services mentioned as dependencies in project level build.gradle: classpath ‘com.google.gms:google-services:2.1.0’. Clean and build the project after the gradle sync completes.
Try to update the SHA1 key in your project on Google Developer Console and update the Maps API key in your android project.
Also, some people fixed it by just deleting the debug.keystore file found in the android folder.