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If an update for Edge is available, Edge will need to be closed in order for the process to complete. To do so, either click the Windows logo in the bottom-left corner of the screen or press the Win key. It's in the lower-left corner of the Start window. Doing so will open the Settings page. You'll see this option near the bottom of the Settings page. It's a button near the top of the Update & Security page. Once you see "Your device is up to date" displayed at the top of the page, your Microsoft Edge browser has been updated.
Close Microsoft Edge if it's open. Open Start. Click ⚙️. Click Update & security. Click Check for updates. Wait for the updates to finish installing.