1. What is the Angle Formula of a Triangle?

Definition: This calculator determines the third angle of a triangle when two angles are known.

Purpose: It helps students, engineers, and designers quickly find missing angles in triangular shapes and structures.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The sum of all angles in a triangle always equals 180°, so the third angle is calculated by subtracting the sum of two known angles from 180°.

3. Importance of Triangle Angle Calculation

Details: Proper angle calculation is essential in geometry, trigonometry, architecture, and engineering design to ensure accurate measurements and structural integrity.

4. Using the Calculator

Tips: Enter any two angles of the triangle (must be between 0° and 179°). Their sum must be less than 180°.

5. Frequently Asked Questions (FAQ)

Q1: Why does the sum of angles equal 180°?
A: This is a fundamental property of Euclidean geometry for plane triangles.

Q2: What if my angles sum to 180° or more?
A: The calculator won't compute as this would violate triangle angle sum property. Check your measurements.

Q3: Does this work for all types of triangles?
A: Yes, the formula applies to scalene, isosceles, and equilateral triangles in Euclidean geometry.

Q4: Can I use this for spherical triangles?
A: No, spherical triangles on a sphere's surface have angle sums greater than 180°.

Q5: How precise should my angle measurements be?
A: The calculator accepts decimals up to one decimal place for precision in technical applications.