Short Answer 
To identify and calculate minor and major arcs, minor arcs measure less than 180 degrees (e.g., Arc MP at 152 degrees) while major arcs exceed 180 degrees (e.g., Arc M L N at 298 degrees). The arc measurements are derived from the circle’s total of 360 degrees, with Arc MP confirmed as minor and Arc M L N as major after calculation.
Step 1: Identify Minor and Major Arcs
The first step is to understand the definitions of minor and major arcs within a circle. A minor arc is any arc that measures less than 180 degrees, while a major arc measures more than 180 degrees. In this case, Arc MP measures 152 degrees, making it a minor arc, and Arc M L N measures 298 degrees, positioning it as a major arc.
Step 2: Calculate Arc Measurements
Next, calculating the measurements of the arcs is essential for categorization. For Arc MP:
- Start with the given total circle measurement of 360 degrees.
- The measurement for Arc MP is calculated as 62 + 90 = 152 degrees.
- Subtract the minor arc measurement from the total, 360 – 62 = 298 degrees.
Step 3: Confirm the Arc Classification
The final step is to make clear and distinct statements about the arcs based on the measurements obtained. You can state:
- Arc MP is a minor arc measuring 152 degrees.
- Arc M L N is a major arc measuring 298 degrees.