Broken kernel packages preventing install/update

Solution 1:

I actually faced problem that same with you. And I think, I just fix it. See screenshot here

First, download and install linux-headers-4.8.0-53_4.8.0-53.56~16.04.1_all.deb.

Then, download and install linux-headers-4.8.0-53-generic_4.8.0-53.56~16.04.1_amd64.deb.

Try apt update then apt upgrade.

UPDATE

If you find error like E: Sub-process /usr/bin/dpkg returned an error code (1), just follow these step.