Explanation:

The given question is related to the topic of 'Classification of Angles' in Mathematics. Let's understand the different types of angles and their classification.

Types of Angles:

1. Acute Angle: An acute angle is an angle that measures less than 90 degrees.

2. Right Angle: A right angle is an angle that measures exactly 90 degrees.

3. Obtuse Angle: An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

4. Straight Angle: A straight angle is an angle that measures exactly 180 degrees.

5. Reflex Angle: A reflex angle is an angle that measures more than 180 degrees but less than 360 degrees.

Classification of Angles:

Based on the measure of angles, we can classify them into different categories as follows:

1. Congruent Angles: Two angles are said to be congruent if they have the same measure.

2. Adjacent Angles: Two angles are said to be adjacent if they have a common vertex and a common side.

3. Complementary Angles: Two angles are said to be complementary if they add up to 90 degrees.

4. Supplementary Angles: Two angles are said to be supplementary if they add up to 180 degrees.

5. Linear Pair of Angles: Two adjacent angles are said to form a linear pair if they add up to 180 degrees.

Based on the above explanation, we can say that the correct answer to the given question is option 'D' which is 'Two angles whose measures add up to 180 degrees are called supplementary angles'.