Final answer:
The complement of a 64-degree angle is 26 degrees, since the sum of complementary angles is 90 degrees. The supplement of a 72-degree angle is 108 degrees, as the sum of supplementary angles is 180 degrees.
Step-by-step explanation:
This question is asking for help with understanding certain geometric concepts, specifically, complementary and supplementary angles. These concepts are a part of basic geometry, often studied during Middle School Mathematics.
Complementary angles are two angles which add up to 90 degrees. The complement of an angle is what, when added to the angle, equals 90 degrees. If you have a 64-degree angle, its complement would be 90 - 64 = 26 degrees, making the correct answer (a) 26 degrees.
Supplementary angles are two angles which add up to 180 degrees. The supplement of an angle is what, when added to the angle, equals 180 degrees. If you have a 72-degree angle, its supplement would be 180 - 72 = 108 degrees, not 18 degrees.
Learn more about Complementary and Supplementary Angles