Complementary angles are those angles whose sum is 90 degree
Supplementary angles are those angles whose sum is 180 degree

Understanding Complementary and Supplementary Angles

Complementary Angles:
Complementary angles are two angles whose measures add up to 90 degrees. In other words, when you add the measures of two complementary angles, the sum is always 90 degrees. For example, if one angle measures 30 degrees, the other angle would measure 60 degrees because 30 + 60 = 90.

Supplementary Angles:
Supplementary angles are two angles whose measures add up to 180 degrees. When you add the measures of two supplementary angles, the sum is always 180 degrees. For instance, if one angle measures 100 degrees, the other angle would measure 80 degrees because 100 + 80 = 180.

Key Differences:
- Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees.
- Complementary angles are always acute angles (less than 90 degrees), whereas supplementary angles can be acute, obtuse, or right angles.

Example:
Consider two angles, one measuring 40 degrees and the other measuring 50 degrees. These two angles are complementary because 40 + 50 = 90 degrees. If the angles were 100 degrees and 80 degrees, they would be supplementary as 100 + 80 = 180 degrees.
Understanding complementary and supplementary angles is crucial in geometry as it helps in solving various problems related to angles and shapes. Practice identifying and working with these types of angles to strengthen your understanding of geometry concepts.