1. What is the Triangle Angle Formula?

The triangle angle formula states that the sum of interior angles in any triangle equals 180 degrees. This calculator finds the missing angle when two angles are known.

2. How Does the Calculator Work?

The calculator uses the triangle angle formula:

Where:

• \( A \) — First known angle (degrees)
• \( B \) — Second known angle (degrees)
• \( C \) — Missing angle (degrees)

Explanation: The formula is derived from the geometric principle that the sum of all three interior angles in a triangle always equals 180 degrees.

3. Importance of Angle Calculation

Details: Calculating missing angles is fundamental in geometry, trigonometry, and various practical applications like construction, navigation, and engineering.

4. Using the Calculator

Tips: Enter two known angles in degrees (must be positive numbers and their sum must be less than 180 degrees). The calculator will compute the third angle.

5. Frequently Asked Questions (FAQ)

Q1: What if I only know one angle?
A: You need at least two angles to find the third in a general triangle. For special triangles (like right-angled or isosceles), one angle might be sufficient.

Q2: Can the angles be in radians?
A: This calculator works with degrees only. Convert radians to degrees first if needed (1 radian ≈ 57.2958 degrees).

Q3: What if the sum of my angles equals or exceeds 180°?
A: This would violate the triangle angle sum rule. Check your measurements as such angles cannot form a valid Euclidean triangle.

Q4: Does this work for all types of triangles?
A: Yes, this formula applies to all triangles in Euclidean geometry - scalene, isosceles, equilateral, acute, obtuse, and right-angled.

Q5: Can I use this for spherical triangles?
A: No, spherical triangles on a sphere's surface have angle sums greater than 180° and require different formulas.