Step 1: Recall the units used to measure temperature.
The most common units for measuring temperature are:
- Degree Celsius (\( ^\circ \text{C} \)),
- Kelvin (K), and
- Degree Fahrenheit (\( ^\circ \text{F} \)).
Step 2: Analyze the options.
- (1) Degree Celsius, Joule: Joule is a unit of energy, not temperature. This option is incorrect.
- (2) Degree Celsius, Calorie: Calorie is a unit of energy, not temperature. This option is incorrect.
- (3) Degree Celsius, Kelvin: Both Degree Celsius and Kelvin are valid units for measuring temperature. This option is correct.
- (4) Kelvin, Joule: Joule is a unit of energy, not temperature. This option is incorrect.
Final Answer: The correct pair of units is \( \mathbf{\text{Degree Celsius, Kelvin}} \), which corresponds to option \( \mathbf{(3)} \).