1. What is the Complement of an Angle?

The complement of an angle is the angle that, when added to the given angle, equals 90 degrees. Two angles are complementary if their measures add up to 90 degrees.

2. How Does the Calculator Work?

The calculator uses the complement formula:

Where:

• \( \theta \) — Given angle in degrees
• \( 90^\circ \) — Right angle measurement

Explanation: The formula calculates the angle that completes the given angle to form a right angle (90 degrees).

3. Importance of Angle Complement Calculation

Details: Calculating angle complements is fundamental in geometry, trigonometry, and various practical applications such as construction, engineering, and navigation where right angles are frequently used.

4. Using the Calculator

Tips: Enter the angle value in degrees (must be between 0 and 90 degrees). The calculator will compute the complementary angle.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of valid input angles?
A: The input angle must be between 0 and 90 degrees inclusive to have a valid complement.

Q2: Can an angle have more than one complement?
A: No, each angle has exactly one complement that makes the sum equal to 90 degrees.

Q3: What is the complement of a 0-degree angle?
A: The complement of 0 degrees is 90 degrees.

Q4: What is the complement of a 90-degree angle?
A: The complement of 90 degrees is 0 degrees.

Q5: Are complementary angles always acute?
A: Yes, since both angles must be positive and their sum is 90 degrees, each must be less than 90 degrees.