Short Answer 
The angles of a triangle always add up to 180 degrees, allowing the calculation of missing angles using the formula Angle C = 180 – (Angle A + Angle B). By applying this principle, known angles can be used to find missing ones, ensuring that all angles in each triangle remain consistent with the total sum.
Step 1: Understanding Triangle Angle Sum
The angles within a triangle always add up to a total of 180 degrees. This fundamental rule is crucial for calculating unknown angles given the other two angles in the triangle. For example, if you know two angles, you can find the third angle using the formula:
- Angle C = 180 – (Angle A + Angle B)
Step 2: Calculate Missing Angles
To find the missing angles in the given scenario, apply the triangle angle sum principle. For each triangle, subtract the known angles from 180 degrees. Here’s how you can calculate them:
- A = 180 – 72 – 68 = 40 degrees
- C = 180 – 90 – 36.5 = 53.5 degrees
- F = 180 – 95 – 32.1 = 52.9 degrees
- D = 180 – 90 – 56 = 34 degrees
Step 3: Identify Right Angles and Final Adjustments
Recognize that some angles, such as B, E, G, and P, are already established as right angles (90 degrees). After calculating the other missing angles, ensure they fit the triangle’s angle sum property. The final adjustments should confirm all angles combine to 180 degrees per triangle:
- K = 180 – 45 – 45 = 90 degrees
- L = 180 – 75 – 33 = 72 degrees
- M = 180 – 35.7 – 37 = 107.3 degrees