Final answer:
Supplementary angles add up to 180 degrees, and to find a supplementary angle, subtract the given angle from 180. Interference patterns and co-latitudes pertain to physics applications of angles. The angle between clock hands is calculated using the number of hours multiplied by 30 degrees per hour.
Step-by-step explanation:
The concept of supplementary angles is part of geometry, which is a branch of mathematics. Supplementary angles are two angles whose measures add up to 180 degrees. Therefore, if you have an angle, X, and you need to find its supplementary angle, you subtract the measure of X from 180 degrees. According to the information provided, we are looking for the angle that is supplementary to a given angle. If the measure of the angle is not directly given, we might need additional information, such as the context or examples provided, to calculate it accurately.
In the context of interference patterns and light angles, which seem to be mentioned in the given examples, the concept of angles including maximum, minimum, and co-latitudes are used in physics to describe light behavior in different circumstances. These are specific applications of angles in other scientific fields, illustrating the interdisciplinary nature of mathematics.
One of the practice problems provided involves calculating the angle between the hour and minute hands of a clock at a specific time. To solve this, you need to know that each hour on the clock represents an angle of 30 degrees (360 degrees divided by 12 hours). At 9:00 a.m., the hour hand is at 9 and the minute hand is at 12. The angle between them would be 3 hours times 30 degrees per hour, totaling 90 degrees.