Is Android 7.0 causing the Nexus 6P to abruptly shut off even with battery life remaining?
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Some Nexus 6P units are experiencing battery problems after the update to Android 7.0
Those who have complained about the problem on the AOSP Issue Tracker site, say that the battery problem started after the Nexus 6P was updated to Android 7.0. The battery shows 10% to 60% of its life is remaining before the phone turns off. Those flashing their Nexus 6P back to Android 6.0 in hopes of removing the bug, are finding that the problem persists on Marshmallow. One interesting discovery; the problem really comes to light in cold weather.
All we can suggest is that you keep calling Google or the place you bought the phone from. Hopefully Google will soon recognize the issue and push out a software update.
source: AOSPIssueTracker, Reddit via AndroidPolice
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