Final answer:
The measures of ∠1 and ∠2 depend on the context and can be found using various mathematical principles, such as the sum of angles in a triangle, the inverse tangent function, and the concept of degrees, minutes, and seconds for angular measurement.
Step-by-step explanation:
To determine the measures of ∠1 and ∠2, we must use the information provided and apply mathematical principles. First, we know that the sum of angles in a triangle is 180 degrees. This fact can be used to calculate unknown angles when the other two are known. If we're referring to a computer's calculation or a specific diagram, we could be using the inverse tangent function to find an angle, like in an example given where 02 = tan¹ (-1.129)= 311.5° ≈ 312º. This calculation indicates the measurement of an angle in degrees. Angles measured in degrees, minutes, and seconds reflect precision in angular measurement. As provided, 35° 43' 9" represents an angle of 35 degrees, 43 minutes, and 9 seconds.
When solving for angles in physics problems, as in the provided example m1 sin 01 -V'1 m2 sin 0₂, you may first need to find the angle of scatter which has been done using a tangent function. Here, angles are considered positive in the counter-clockwise direction, and specific calculations might be made using components along the x- or y-axis. Frequently, problems involving angles also involve the concept of arcs and sectors in a circle, particularly when we think about angles traversed by the hands of a clock or points on a rotating object.