Introduction:

In geometry, complementary and supplementary angles are pairs of angles with specific relationships in terms of their sum.



Understanding Complementary Angles:



Complementary angles are two angles whose measures add up to 90 degrees.

They can be adjacent (sharing a common side and vertex) or non-adjacent.

When put together, they form a right angle.

Understanding Supplementary Angles:



Supplementary angles are two angles whose measures add up to 180 degrees.

Like complementary angles, they can be adjacent or non-adjacent.

When adjacent, they form a straight line.

Example of Complementary Angles:



If one angle measures 30 degrees, its complementary angle will measure 60 degrees because 30 + 60 = 90.

Example of Supplementary Angles:



If one angle measures 110 degrees, its supplementary angle will measure 70 degrees because 110 + 70 = 180.

Key Points to Remember:



Complementary angles always sum up to 90 degrees.

Supplementary angles always sum up to 180 degrees.