Final answer:
The branch structure that a program uses to output 'Yes' if a variable's value is positive, or 'No' otherwise, is the if-else statement.
Step-by-step explanation:
The branch structure that a program uses to output 'Yes' if a variable's value is positive, or 'No' otherwise, is if-else statement. This is a conditional statement that evaluates a condition and executes specific code if the condition is true, and different code if the condition is false. Here's an example:
int num = 10;
if (num > 0) {
System.out.println('Yes');
} else {
System.out.println('No');
}
In this example, if the value of 'num' is greater than 0, it will output 'Yes'. Otherwise, it will output 'No'.