1. What is the Angle Sum Theorem?

The Angle Sum Theorem states that the sum of the interior angles in any triangle is always 180 degrees. This fundamental geometric principle allows us to calculate the third angle when two angles are known.

2. How Does the Calculator Work?

The calculator uses the Angle Sum Theorem:

Where:

• angle1 — First known angle in degrees
• angle2 — Second known angle in degrees
• angle3 — Calculated third angle in degrees

Explanation: The theorem applies to all triangles, regardless of their type (scalene, isosceles, or equilateral).

3. Importance of Angle Calculation

Details: Calculating unknown angles is essential for solving geometric problems, designing structures, and in various engineering applications.

4. Using the Calculator

Tips: Enter two known angles between 0 and 180 degrees. Their sum must be less than 180 degrees to form a valid triangle.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for all types of triangles?
A: Yes, the Angle Sum Theorem applies to all triangles - scalene, isosceles, equilateral, right, acute, and obtuse.

Q2: What if my two angles sum to 180° or more?
A: This would violate the Angle Sum Theorem and cannot form a valid triangle. Please check your angle measurements.

Q3: Can I use this for angles in radians?
A: No, this calculator works with degrees only. Convert radians to degrees first if needed (1 radian ≈ 57.2958°).

Q4: How precise are the results?
A: Results are calculated to one decimal place for precision in most practical applications.

Q5: Can I calculate exterior angles with this?
A: No, this calculates interior angles only. For exterior angles, remember they equal the sum of the two non-adjacent interior angles.