Final answer:
The relationship that the first angle is 40 degrees less than the second can be expressed as A = B - 40°, where A is the first angle and B is the second. This relationship can be important in vector subtraction and when determining directions.
Step-by-step explanation:
The measure of the first angle is 40 degrees less than the measure of the second angle implies a relationship between two angles. If you denote the second angle as B and the first angle as A, then you can express this relationship algebraically as A = B - 40°. In certain problems, such as vector subtraction or angle calculation between directions, this relationship helps to determine the correct angle by subtracting one angle from another.
For example, when walking 20.0 m in a direction 40.0° east of south, you'll need to understand this relationship to appropriately calculate the resultant displacement or the difference in direction.
Angles are commonly measured in degrees, and sometimes further broken down into minutes of arc and seconds of arc. It's essential to differentiate this method of measuring angles from the units of time, despite the similar notation.