Complementary angles are a pair of angles whose measures add up to 90 degrees. In other words, when you add the measure of an angle to its complementary angle, the result is always 90 degrees.

To find the complementary angle of 50 degrees 30 minutes, we need to subtract the given angle from 90 degrees. Let's break down the process into the following steps:

Step 1: Convert minutes to degrees
- Since we are given an angle in degrees and minutes, we need to convert the minutes to degrees before proceeding with the calculation.
- 1 degree is equal to 60 minutes. Therefore, 30 minutes is equal to 30/60 = 0.5 degrees.

Step 2: Subtract the given angle from 90 degrees
- 90 degrees - 50 degrees - 0.5 degrees = 39.5 degrees

So, the complementary angle of 50 degrees 30 minutes is 39 degrees 30 minutes.

Let's summarize the steps:

Steps to Find the Complementary Angle:
1. Convert minutes to degrees (if necessary)
2. Subtract the given angle from 90 degrees

Example Calculation:
Given Angle: 50 degrees 30 minutes

Step 1: Convert minutes to degrees
- 30 minutes = 30/60 = 0.5 degrees

Step 2: Subtract the given angle from 90 degrees
- 90 degrees - 50 degrees - 0.5 degrees = 39.5 degrees

Answer:
The complementary angle of 50 degrees 30 minutes is 39 degrees 30 minutes.

By following these steps, you can easily find the complementary angle of any given angle. Remember that complementary angles always add up to 90 degrees, which makes them an important concept in geometry and trigonometry.