Final answer:
The text on an Android widget is set using the 'android:text' property, so the correct option is A: android:text="Continue".
Step-by-step explanation:
The property that sets the text on the widget to "Continue" in the given code for an Android application is android:text="Continue". This XML attribute is used within an Android layout file to specify the text that will appear on a Button, TextView, or other text-displaying widgets. The correct option is A: android:text="Continue".